Cubides Kovacsics, Pablo; Poineau, Jérôme Definable sets of Berkovich curves. (English) Zbl 1484.14056 J. Inst. Math. Jussieu 20, No. 4, 1275-1339 (2021). MSC: 14G22 12J25 03C98 PDFBibTeX XMLCite \textit{P. Cubides Kovacsics} and \textit{J. Poineau}, J. Inst. Math. Jussieu 20, No. 4, 1275--1339 (2021; Zbl 1484.14056) Full Text: DOI arXiv
Spodzieja, Stanisław A geometric model of an arbitrary differentially closed field of characteristic zero. (English) Zbl 1465.12007 Trans. Am. Math. Soc. 374, No. 1, 663-686 (2021). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 12H05 13N15 14P20 14P10 PDFBibTeX XMLCite \textit{S. Spodzieja}, Trans. Am. Math. Soc. 374, No. 1, 663--686 (2021; Zbl 1465.12007) Full Text: DOI arXiv
Kriel, Tom-Lukas; Schweighofer, Markus On the exactness of Lasserre relaxations and pure states over real closed fields. (English) Zbl 1432.13019 Found. Comput. Math. 19, No. 6, 1223-1263 (2019). Reviewer: Valeriu Popa (Chişinău) MSC: 13J30 90C22 14P10 46L30 52A20 52A41 PDFBibTeX XMLCite \textit{T.-L. Kriel} and \textit{M. Schweighofer}, Found. Comput. Math. 19, No. 6, 1223--1263 (2019; Zbl 1432.13019) Full Text: DOI arXiv
Divaani-Aazar, Kamran; Zargar, Majid Rahro The derived category analogues of Faltings local-global principle and annihilator theorems. (English) Zbl 1422.13019 J. Algebra Appl. 18, No. 7, Article ID 1950140, 16 p. (2019). Reviewer: Biju Vasudevan (Jubail) MSC: 13D45 14B15 13D09 PDFBibTeX XMLCite \textit{K. Divaani-Aazar} and \textit{M. R. Zargar}, J. Algebra Appl. 18, No. 7, Article ID 1950140, 16 p. (2019; Zbl 1422.13019) Full Text: DOI arXiv
Bernard, Séverine; Cabuzel, Catherine; Nuiro, Silvère Paul; Pietrus, Alain Extended semismooth Newton method for functions with values in a cone. (English) Zbl 1396.49022 Acta Appl. Math. 155, No. 1, 85-98 (2018). MSC: 49M15 49J53 47H04 65K10 14P15 PDFBibTeX XMLCite \textit{S. Bernard} et al., Acta Appl. Math. 155, No. 1, 85--98 (2018; Zbl 1396.49022) Full Text: DOI
Kriel, Tom-Lukas; Schweighofer, Markus On the exactness of Lasserre relaxations for compact convex basic closed semialgebraic sets. (English) Zbl 1397.90296 SIAM J. Optim. 28, No. 2, 1796-1816 (2018). MSC: 90C22 14P10 52A20 52A41 90C26 13J30 PDFBibTeX XMLCite \textit{T.-L. Kriel} and \textit{M. Schweighofer}, SIAM J. Optim. 28, No. 2, 1796--1816 (2018; Zbl 1397.90296) Full Text: DOI arXiv
Chaudhry, F.; Dokuyucu, A.; Ene, V. Binomial edge ideals and rational normal scrolls. (English) Zbl 1373.13021 Bull. Iran. Math. Soc. 41, No. 4, 971-979 (2015). MSC: 13F20 13H10 13C40 14M10 14N05 13P10 PDFBibTeX XMLCite \textit{F. Chaudhry} et al., Bull. Iran. Math. Soc. 41, No. 4, 971--979 (2015; Zbl 1373.13021) Full Text: arXiv Link
Fernando, José F. On chains of prime ideals in rings of semialgebraic functions. (English) Zbl 1303.14066 Q. J. Math. 65, No. 3, 893-930 (2014). Reviewer: Igor Klep (Auckland) MSC: 14P10 13J30 16N60 PDFBibTeX XMLCite \textit{J. F. Fernando}, Q. J. Math. 65, No. 3, 893--930 (2014; Zbl 1303.14066) Full Text: DOI
Wenzel, Walter On Zariski topologies and algebraic combinatorics. (English) Zbl 1313.14010 Math. Pannonica 24, No. 2, 211-220 (2013). MSC: 14T05 08A72 13F20 14A10 05B30 06A11 PDFBibTeX XMLCite \textit{W. Wenzel}, Math. Pannonica 24, No. 2, 211--220 (2013; Zbl 1313.14010)
Park, Dae Heui The equivalence conditions for semialgebraically proper maps. (English) Zbl 1278.14071 Honam Math. J. 35, No. 2, 319-327 (2013). MSC: 14P10 54C10 PDFBibTeX XMLCite \textit{D. H. Park}, Honam Math. J. 35, No. 2, 319--327 (2013; Zbl 1278.14071) Full Text: DOI
Spodzieja, Stanisław A geometric model of an arbitrary real closed field. (English) Zbl 1318.14053 Pac. J. Math. 264, No. 2, 455-469 (2013). Reviewer: Niels Schwartz (Passau) MSC: 14P10 12J15 14P20 13J30 PDFBibTeX XMLCite \textit{S. Spodzieja}, Pac. J. Math. 264, No. 2, 455--469 (2013; Zbl 1318.14053) Full Text: DOI
Sinn, Rainer Algebraic boundaries of \(\mathrm{SO}(2)\)-orbitopes. (English) Zbl 1285.14062 Discrete Comput. Geom. 50, No. 1, 219-235 (2013). Reviewer: Emanuele Ventura (Helsinki) MSC: 14P05 52A99 90C22 22E47 14Q05 PDFBibTeX XMLCite \textit{R. Sinn}, Discrete Comput. Geom. 50, No. 1, 219--235 (2013; Zbl 1285.14062) Full Text: DOI arXiv
Averkov, Gennadiy; Bröcker, Ludwig Minimal polynomial descriptions of polyhedra and special semialgebraic sets. (English) Zbl 1285.14063 Adv. Geom. 12, No. 3, 447-459 (2012). Reviewer: Dmitrii Pasechnik (Oxford) MSC: 14P10 52B11 14Q20 PDFBibTeX XMLCite \textit{G. Averkov} and \textit{L. Bröcker}, Adv. Geom. 12, No. 3, 447--459 (2012; Zbl 1285.14063) Full Text: DOI arXiv
Fernando, José F.; Gamboa, J. M. On open and closed morphisms between semialgebraic sets. (English) Zbl 1256.14060 Proc. Am. Math. Soc. 140, No. 4, 1207-1219 (2012). Reviewer: Janusz Adamus (London, ON) MSC: 14P10 54C30 12D15 13E99 PDFBibTeX XMLCite \textit{J. F. Fernando} and \textit{J. M. Gamboa}, Proc. Am. Math. Soc. 140, No. 4, 1207--1219 (2012; Zbl 1256.14060) Full Text: DOI
Peterzil, Ya’acov; Starchenko, Sergei Tame complex analysis and o-minimality. (English) Zbl 1246.03061 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. II: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-32-8/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 58-81 (2011). Reviewer: Carlo Toffalori (Camerino) MSC: 03C64 32B15 32C20 32B25 14P15 03C98 PDFBibTeX XMLCite \textit{Y. Peterzil} and \textit{S. Starchenko}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. II: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 58--81 (2011; Zbl 1246.03061) Full Text: Link
Acquistapace, Francesca; Broglia, Fabrizio; Fernando, José F.; Ruiz, Jesús M. On the finiteness of Pythagoras numbers of real meromorphic functions. (Sur la finitude des nombres de pythagore des fonctions méromorphes réelles.) (English. French summary) Zbl 1197.14060 Bull. Soc. Math. Fr. 138, No. 2, 231-247 (2010). MSC: 14P99 11E25 32B10 PDFBibTeX XMLCite \textit{F. Acquistapace} et al., Bull. Soc. Math. Fr. 138, No. 2, 231--247 (2010; Zbl 1197.14060) Full Text: DOI Link
Kollár, János Diophantine subsets of function fields of curves. (English) Zbl 1178.11075 Algebra Number Theory 2, No. 3, 299-311 (2008). Reviewer: Atanas Iliev (Sofia) MSC: 11U05 14G25 14G27 14M20 PDFBibTeX XMLCite \textit{J. Kollár}, Algebra Number Theory 2, No. 3, 299--311 (2008; Zbl 1178.11075) Full Text: DOI arXiv
Fernando, José F.; Gamboa, J. M. Polynomial images of \(\mathbb{R}^n\). (English) Zbl 1042.14035 J. Pure Appl. Algebra 179, No. 3, 241-254 (2003). Reviewer: Eugenii I. Shustin (Tel Aviv) MSC: 14P10 14Q99 14R10 PDFBibTeX XMLCite \textit{J. F. Fernando} and \textit{J. M. Gamboa}, J. Pure Appl. Algebra 179, No. 3, 241--254 (2003; Zbl 1042.14035) Full Text: DOI
Prestel, Alexander Bounds for representations of polynomials positive on compact semi-algebraic sets. (English) Zbl 1015.14030 Kuhlmann, Franz-Viktor (ed.) et al., Valuation theory and its applications. Volume I. Proceedings of the international conference and workshop, University of Saskatchewan, Saskatoon, Canada, July 28-August 11, 1999. Providence, RI: American Mathematical Society (AMS). Fields Inst. Commun. 32, 253-260 (2002). Reviewer: N.Schwartz (Passau) MSC: 14P10 13J30 14Q20 PDFBibTeX XMLCite \textit{A. Prestel}, Fields Inst. Commun. 32, 253--260 (2002; Zbl 1015.14030)
Schweighofer, Markus An algorithmic approach to Schmüdgen’s Positivstellensatz. (English) Zbl 1015.14031 J. Pure Appl. Algebra 166, No. 3, 307-319 (2002). Reviewer: N.Schwartz (Passau) MSC: 14P10 13J30 13J25 PDFBibTeX XMLCite \textit{M. Schweighofer}, J. Pure Appl. Algebra 166, No. 3, 307--319 (2002; Zbl 1015.14031) Full Text: DOI
Peterzil, Ya’acov; Starchenko, Sergei Expansions of algebraically closed fields in o-minimal structures. (English) Zbl 1010.03027 Sel. Math., New Ser. 7, No. 3, 409-445 (2001). Reviewer: M.Yasuhara (Princeton) MSC: 03C64 12L12 14A10 30C35 12J15 03H05 PDFBibTeX XMLCite \textit{Y. Peterzil} and \textit{S. Starchenko}, Sel. Math., New Ser. 7, No. 3, 409--445 (2001; Zbl 1010.03027) Full Text: DOI
Jekel, Solomon M. Vanishing powers of the Euler class. (English) Zbl 0989.57016 Topology 40, No. 5, 871-926 (2001). Reviewer: Július Korbaš (Bratislava) MSC: 57R20 55R40 57R22 57N05 30F20 14H10 57M99 PDFBibTeX XMLCite \textit{S. M. Jekel}, Topology 40, No. 5, 871--926 (2001; Zbl 0989.57016) Full Text: DOI
Quarez, Ronan Space of real arc germs and Poincaré series of a semi-algebraic set. (Espace des germes d’arcs réels et série de Poincaré d’un ensemble semi-algébrique.) (French) Zbl 0967.14037 Ann. Inst. Fourier 51, No. 1, 43-67 (2001). Reviewer: Z.Hajto (Kraków) MSC: 14P10 13D40 14G27 32B10 12L99 PDFBibTeX XMLCite \textit{R. Quarez}, Ann. Inst. Fourier 51, No. 1, 43--67 (2001; Zbl 0967.14037) Full Text: DOI Numdam EuDML
de la Puente, M. J. The complex spectrum of a ring. (English) Zbl 1016.13011 Delzell, Charles N. (ed.) et al., Real algebraic geometry and ordered structures. AMS special session, Baton Rouge, LA, USA, April 17-21, 1996 and the associated special semester at Louisiana State University and Southern University, Baton Rouge, LA, USA, January-May 1996. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 253, 235-249 (2000). MSC: 13J30 14P10 12J10 12J15 PDFBibTeX XMLCite \textit{M. J. de la Puente}, Contemp. Math. 253, 235--249 (2000; Zbl 1016.13011)
Ullrich, Peter Uniform decomposition of \(\alpha\)-algebraic sets in valued fields. (Uniforme Zerlegung \(\alpha\)-algebraischer Mengen zu bewerteten Körpern.) (German) Zbl 0967.14039 Regensburger Mathematische Schriften. 29. Regensburg: Univ. Regensburg, Fakultät für Mathematik, xiii, 187 S. (1999). Reviewer: N.Schwartz (Passau) MSC: 14P10 12J10 PDFBibTeX XMLCite \textit{P. Ullrich}, Uniforme Zerlegung \(\alpha\)-algebraischer Mengen zu bewerteten Körpern. Regensburg: Univ. Regensburg, Fakultät für Mathematik (1999; Zbl 0967.14039)
Bochnak, Jacek; Coste, Michel; Roy, Marie-Françoise Real algebraic geometry. Transl. from the French. Rev. and updated ed. (English) Zbl 0912.14023 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. 36. Berlin: Springer. ix, 430 p. (1998). Reviewer: E.I.Shustin (Tel Aviv) MSC: 14Pxx 14-01 12J15 14-02 11E81 14F05 19E99 19G12 32C05 55R50 57N80 58A07 58A35 PDFBibTeX XMLCite \textit{J. Bochnak} et al., Real algebraic geometry. Transl. from the French. Rev. and updated ed. Berlin: Springer (1998; Zbl 0912.14023) Backlinks: MO
Pillay, Anand Model theory and diophantine geometry. (English) Zbl 0884.03040 Bull. Am. Math. Soc., New Ser. 34, No. 4, 405-422 (1997); erratum ibid. 35, No. 1, 67 (1998). Reviewer: C.Toffalori (Camerino) MSC: 03C60 11G10 03-02 14G05 PDFBibTeX XMLCite \textit{A. Pillay}, Bull. Am. Math. Soc., New Ser. 34, No. 4, 405--422 (1997; Zbl 0884.03040) Full Text: DOI
Delzell, Charles N. Nonexistence of analytically varying solutions to Hilbert’s 17th problem. (English) Zbl 0828.12001 Jacob, William B. (ed.) et al., Recent advances in real algebraic geometry and quadratic forms. Proceedings of the RAGSQUAD year, Berkeley, CA, USA, 1990-1991. Providence, RI: American Mathematical Society. Contemp. Math. 155, 107-117 (1994). Reviewer: Charles N.Delzell MSC: 12D15 14P15 11E25 PDFBibTeX XMLCite \textit{C. N. Delzell}, Contemp. Math. 155, 107--117 (1994; Zbl 0828.12001)
Becker, E.; Berr, R.; Delon, F.; Gondard, D. Hilbert’s 17-th problem for sums of \(2n\)-th powers. (English) Zbl 0807.14045 J. Reine Angew. Math. 450, 139-157 (1994). Reviewer: N.Schwartz (Passau) MSC: 14P05 12D15 11E76 12J10 12J15 PDFBibTeX XMLCite \textit{E. Becker} et al., J. Reine Angew. Math. 450, 139--157 (1994; Zbl 0807.14045) Full Text: Crelle EuDML
Merkurjev, A. S. Closed points of Severi-Brauer varieties. (English. Russian original) Zbl 0833.16012 Vestn. St. Petersbg. Univ., Math. 26, No. 2, 44-46 (1993); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1993, No. 2, 51-53 (1993). MSC: 16K20 14M99 PDFBibTeX XMLCite \textit{A. S. Merkurjev}, Vestn. St. Petersbg. Univ., Math. 26, No. 2, 44--46 (1993; Zbl 0833.16012); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1993, No. 2, 51--53 (1993)
Canny, J.; Grigor’ev, D. Yu.; Vorob’ev, N. N. jun. Finding connected components of a semialgebraic set in subexponential time. (English) Zbl 0783.14036 Appl. Algebra Eng. Commun. Comput. 2, No. 4, 217-238 (1992). Reviewer: T.Recio (Santander) MSC: 14P10 68Q25 12D15 68W30 03C10 PDFBibTeX XMLCite \textit{J. Canny} et al., Appl. Algebra Eng. Commun. Comput. 2, No. 4, 217--238 (1992; Zbl 0783.14036) Full Text: DOI
Fekak, Azzeddine Łojasiewicz exponents for semi-algebraic functions. (Exposants de Łojasiewicz pour les fonctions semi-algébriques.) (French) Zbl 0773.14027 Ann. Pol. Math. 56, No. 2, 123-131 (1992). Reviewer: J.M.Gamboa (Madrid) MSC: 14P10 14P05 PDFBibTeX XMLCite \textit{A. Fekak}, Ann. Pol. Math. 56, No. 2, 123--131 (1992; Zbl 0773.14027) Full Text: DOI
Marshall, Murray The Pierce-Birkhoff conjecture for curves. (English) Zbl 0793.14039 Can. J. Math. 44, No. 6, 1262-1271 (1992). MSC: 14P10 12D15 PDFBibTeX XMLCite \textit{M. Marshall}, Can. J. Math. 44, No. 6, 1262--1271 (1992; Zbl 0793.14039) Full Text: DOI
Vorob’ev, N. N. jun.; Grigor’ev, D. Yu. Finding connected components of a semialgebraic set in subexponential time. (English. Russian original) Zbl 0835.68061 J. Math. Sci., New York 70, No. 4, 1847-1872 (1994); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 192, 3-46 (1991). MSC: 68W30 14P10 68Q25 03C60 12Y05 PDFBibTeX XMLCite \textit{N. N. Vorob'ev jun.} and \textit{D. Yu. Grigor'ev}, J. Math. Sci., New York 70, No. 4, 1847--1872 (1991; Zbl 0835.68061); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 192, 3--46 (1991) Full Text: DOI
Vorob’ev, N. N. jun.; Grigor’ev, D. Yu. Determination of the connected components of a semialgebraic set in subexponential time. (Russian. English summary) Zbl 0801.68098 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 192, 3-46 (1991). MSC: 68W30 14P10 68Q25 03C60 12Y05 PDFBibTeX XMLCite \textit{N. N. Vorob'ev jun.} and \textit{D. Yu. Grigor'ev}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 192, 3--46 (1991; Zbl 0801.68098)
Pecker, Daniel On the elimination of algebraic inequalities. (English) Zbl 0693.14013 Pac. J. Math. 146, No. 2, 305-314 (1990). Reviewer: D.Pecker MSC: 14P10 12D15 PDFBibTeX XMLCite \textit{D. Pecker}, Pac. J. Math. 146, No. 2, 305--314 (1990; Zbl 0693.14013) Full Text: DOI
Vorob’ev, N. N. jun.; Grigor’ev, D. Yu. Determination of the number of connected components of a semialgebraic set in subexponential time. (English. Russian original) Zbl 0801.68097 Sov. Math., Dokl. 42, No. 2, 563-566 (1991); translation from Dokl. Akad. Nauk SSSR 314, No. 5, 1040-1043 (1990). MSC: 68W30 68Q25 14P10 14Q99 12Y05 03C60 PDFBibTeX XMLCite \textit{N. N. Vorob'ev jun.} and \textit{D. Yu. Grigor'ev}, Sov. Math., Dokl. 42, No. 2, 563--566 (1990; Zbl 0801.68097); translation from Dokl. Akad. Nauk SSSR 314, No. 5, 1040--1043 (1990)
Pecker, Daniel Projections propres de variétés algébriques réelles. (Proper projections of real algebraic varieties). (French) Zbl 0712.14031 C. R. Acad. Sci., Paris, Sér. I 309, No. 12, 777-779 (1989). Reviewer: G.Ishikawa MSC: 14P10 14P05 PDFBibTeX XMLCite \textit{D. Pecker}, C. R. Acad. Sci., Paris, Sér. I 309, No. 12, 777--779 (1989; Zbl 0712.14031)
Ko, Hai-Ping Geometry theorem proving by decomposition of quasi-algebraic sets: An application of the Ritt-Wu principle. (English) Zbl 0668.68100 Artif. Intell. 37, No. 1-3, 95-122 (1988). Reviewer: D.Yu.Grigor’ev MSC: 68T15 68W30 14A05 13B25 PDFBibTeX XMLCite \textit{H.-P. Ko}, Artif. Intell. 37, No. 1--3, 95--122 (1988; Zbl 0668.68100) Full Text: DOI
Alling, Norman L. Foundations of analysis over surreal number fields. (English) Zbl 0621.12001 North-Holland Mathematics Studies, 141. Notas de Matemática, 117. Amsterdam etc.: North-Holland. XVI, 373 p.; $ 66.75; Dfl. 150.00 (1987). Reviewer: N.Schwartz MSC: 12-02 12D15 12J10 26E99 14Pxx 12J15 PDFBibTeX XML
Bröcker, L. Spaces of orderings and semialgebraic sets. (English) Zbl 0616.14018 Algebra and order, Proc. 1st Int. Symp., Luminy-Marseilles/France 1984, Res. Expo. Math. 14, 149-153 (1986). Reviewer: R.O.Robson MSC: 14Pxx 14N10 PDFBibTeX XML
Azoff, Edward A. On finite rank operators and preannihilators. (English) Zbl 0606.47042 Mem. Am. Math. Soc. 357, 85 p. (1986). Reviewer: P.E.T.Jörgensen MSC: 47L05 47L10 46B10 54H05 54B20 15A30 46A32 14A25 PDFBibTeX XMLCite \textit{E. A. Azoff}, On finite rank operators and preannihilators. Providence, RI: American Mathematical Society (AMS) (1986; Zbl 0606.47042) Full Text: DOI
Andradas, C.; Gamboa, J. M. On projections of real algebraic varieties. (English) Zbl 0587.14012 Pac. J. Math. 121, 281-291 (1986). Reviewer: G.Ishikawa MSC: 14Pxx 58A07 12J15 PDFBibTeX XMLCite \textit{C. Andradas} and \textit{J. M. Gamboa}, Pac. J. Math. 121, 281--291 (1986; Zbl 0587.14012) Full Text: DOI
Andradas, Carlos; Gamboa, J. Manuel A note on projections of real algebraic varieties. (English) Zbl 0506.14015 Pac. J. Math. 115, 1-11 (1984). MSC: 14Pxx PDFBibTeX XMLCite \textit{C. Andradas} and \textit{J. M. Gamboa}, Pac. J. Math. 115, 1--11 (1984; Zbl 0506.14015) Full Text: DOI
Heintz, Joos Definability and fast quantifier elimination in algebraically closed fields. (English) Zbl 0546.03017 Theor. Comput. Sci. 24, 239-277 (1983). Reviewer: S.A.Basarab MSC: 03C10 03D15 12L99 03C60 13L05 14A25 PDFBibTeX XMLCite \textit{J. Heintz}, Theor. Comput. Sci. 24, 239--277 (1983; Zbl 0546.03017) Full Text: DOI
Bierstone, Edward; Schwarz, Gerald W. The extension problem and related themes in differential analysis. (English) Zbl 0526.32006 Singularities, Summer Inst., Arcata/Calif. 1981, Proc. Symp. Pure Math. 40, Part 1, 137-143 (1983). MSC: 32B20 58A07 32D15 32C05 32A38 46J10 46J15 14Pxx PDFBibTeX XML
Cherenack, Paul Algebraic transversality. (English) Zbl 0519.14003 Global analysis - analysis on manifolds, dedic. M. Morse, Teubner-Texte Math. 57, 73-92 (1983). MSC: 14E99 58D15 14A20 54C35 18D15 PDFBibTeX XML
Delzell, Charles N. A finiteness theorem for open semi-algebraic sets, with applications to Hilbert’s 17th problem. (English) Zbl 0495.14013 Contemp. Math. 8, 79-77 (1982). MSC: 14Pxx 11P05 12D15 12J15 PDFBibTeX XMLCite \textit{C. N. Delzell}, Contemp. Math. 8, 79--97 (1982; Zbl 0495.14013) Full Text: DOI
Delfs, Hans; Knebusch, Manfred Semialgebraic topology over a real closed field. I: Paths and components in the set of rational points of an algebraic variety. (English) Zbl 0438.14018 Math. Z. 177, 107-129 (1981). MSC: 14F45 14G05 14Pxx 54D05 PDFBibTeX XMLCite \textit{H. Delfs} and \textit{M. Knebusch}, Math. Z. 177, 107--129 (1981; Zbl 0438.14018) Full Text: DOI EuDML
Heintz, Joos Definability bounds of first order theories of algebraically closed fields. (English) Zbl 0439.03003 Fundamentals of computation theory ’79, Proc. Conf., Berlin/ Wendisch- Rietz 1979, 160-166 (1979). MSC: 03B25 03D15 03D10 14A10 PDFBibTeX XML