Kocel-Cynk, Beata; Pawłucki, Wiesław; Valette, Anna Semialgebraic Calderon-Zygmund theorem on regularization of the distance function. arXiv:2403.03135 Preprint, arXiv:2403.03135 [math.CA] (2024). MSC: 14P20 57R35 14P10 32B20 BibTeX Cite \textit{B. Kocel-Cynk} et al., ``Semialgebraic Calderon-Zygmund theorem on regularization of the distance function'', Preprint, arXiv:2403.03135 [math.CA] (2024) Full Text: DOI arXiv OA License
Kocel-Cynk, Beata; Pawłucki, Wiesław; Valette, Anna Approximation of singular semialgebraic sets by smooth ones with respect to the Hausdorff metric. (English) Zbl 1514.14071 Bull. Sci. Math. 185, Article ID 103270, 12 p. (2023). Reviewer: Janusz Adamus (London, ON) MSC: 14P10 14P20 14B07 58K60 PDFBibTeX XMLCite \textit{B. Kocel-Cynk} et al., Bull. Sci. Math. 185, Article ID 103270, 12 p. (2023; Zbl 1514.14071) Full Text: DOI
Kocel-Cynk, Beata; Pawłucki, Wiesław; Valette, Anna Semialgebraic version of Whitney’s extension theorem. (English) Zbl 1419.58008 Arch. Math. 113, No. 1, 59-62 (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 58C25 14P20 57R35 03C64 58A07 PDFBibTeX XMLCite \textit{B. Kocel-Cynk} et al., Arch. Math. 113, No. 1, 59--62 (2019; Zbl 1419.58008) Full Text: DOI
Pawłucki, Wiesław; Rożen, Zofia An algorithm for regular solutions of systems of exp-subanalytic equations and o-minimality of \(\mathbb{R}_{\text{an} , \exp}\). (English) Zbl 1475.03091 J. Algebra Appl. 18, No. 4, Article ID 1950078, 13 p. (2019). Reviewer: Olivier Le Gal (Le Bourget-du-Lac) MSC: 03C64 14P10 32B20 PDFBibTeX XMLCite \textit{W. Pawłucki} and \textit{Z. Rożen}, J. Algebra Appl. 18, No. 4, Article ID 1950078, 13 p. (2019; Zbl 1475.03091) Full Text: DOI
Kocel-Cynk, Beata; Pawłucki, Wiesław; Valette, Anna \(\mathcal{C}^{p}\)-parametrization in o-minimal structures. (English) Zbl 1475.14113 Can. Math. Bull. 62, No. 1, 99-108 (2019). Reviewer: Zofia Denkowska (Angers) MSC: 14P15 03C64 32B20 PDFBibTeX XMLCite \textit{B. Kocel-Cynk} et al., Can. Math. Bull. 62, No. 1, 99--108 (2019; Zbl 1475.14113) Full Text: DOI
Czapla, Małgorzata; Pawłucki, Wiesław Strict \(C^1\)-triangulations in o-minimal structures. (English) Zbl 1423.32011 Topol. Methods Nonlinear Anal. 52, No. 2, 739-747 (2018). Reviewer: Armin Rainer (Wien) MSC: 32B25 14P10 03C64 32B20 PDFBibTeX XMLCite \textit{M. Czapla} and \textit{W. Pawłucki}, Topol. Methods Nonlinear Anal. 52, No. 2, 739--747 (2018; Zbl 1423.32011) Full Text: DOI Euclid
Czapla, Małgorzata; Pawłucki, Wiesław Michael’s selection theorem for a mapping definable in an o-minimal structure defined on a set of dimesion 1. (English) Zbl 1372.14050 Topol. Methods Nonlinear Anal. 49, No. 1, 377-380 (2017). MSC: 14P10 54C60 54C65 32B20 49J53 PDFBibTeX XMLCite \textit{M. Czapla} and \textit{W. Pawłucki}, Topol. Methods Nonlinear Anal. 49, No. 1, 377--380 (2017; Zbl 1372.14050) Full Text: DOI Euclid
Czapla, Małgorzata; Pawłucki, Wiesław Michael’s theorem for Lipschitz cells in o-minimal structures. (English) Zbl 1354.14084 Ann. Pol. Math. 117, No. 2, 101-107 (2016). MSC: 14P10 54C60 54C65 32B20 49J53 PDFBibTeX XMLCite \textit{M. Czapla} and \textit{W. Pawłucki}, Ann. Pol. Math. 117, No. 2, 101--107 (2016; Zbl 1354.14084) Full Text: DOI Link
Ambroży, Zofia; Pawłucki, Wiesław On the implicit function theorem in o-minimal structures. (English) Zbl 1439.14165 Białas-Cież, Leokadia (ed.) et al., Constructive approximation of functions. Selected papers based on the presentations at the conference, Bȩdlewo, Poland, June 29 – July 5, 2014. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 107, 19-21 (2015). MSC: 14P10 32B20 03C64 14P15 PDFBibTeX XMLCite \textit{Z. Ambroży} and \textit{W. Pawłucki}, Banach Cent. Publ. 107, 19--21 (2015; Zbl 1439.14165) Full Text: DOI Link
Kurdyka, Krzysztof; Pawłucki, Wiesław O-minimal version of Whitney’s extension theorem. (English) Zbl 1318.14052 Stud. Math. 224, No. 1, 81-96 (2014). Reviewer: Tobias Kaiser (Passau) MSC: 14P10 32B20 03C64 14P15 PDFBibTeX XMLCite \textit{K. Kurdyka} and \textit{W. Pawłucki}, Stud. Math. 224, No. 1, 81--96 (2014; Zbl 1318.14052) Full Text: DOI
Kocel-Cynk, Beata; Pawłucki, Wiesław; Valette, Anna A short geometric proof that Hausdorff limits are definable in any o-minimal structure. (English) Zbl 1309.14046 Adv. Geom. 14, No. 1, 49-58 (2014). Reviewer: Gareth Jones (Manchester) MSC: 14P10 32B20 03C64 14P15 PDFBibTeX XMLCite \textit{B. Kocel-Cynk} et al., Adv. Geom. 14, No. 1, 49--58 (2014; Zbl 1309.14046) Full Text: DOI Link
Pawłucki, Wiesław Lipschitz cell decomposition in o-minimal structures. I. (English) Zbl 1222.32019 Ill. J. Math. 52, No. 3, 1045-1063 (2008). MSC: 32B20 14P10 32S60 51N20 51F99 PDFBibTeX XMLCite \textit{W. Pawłucki}, Ill. J. Math. 52, No. 3, 1045--1063 (2008; Zbl 1222.32019) Full Text: Euclid
Pawłucki, Wiesław A linear extension operator for Whitney fields on closed o-minimal sets. (English) Zbl 1168.14040 Ann. Inst. Fourier 58, No. 2, 383-404 (2008). Reviewer: Andreas Fischer (Dorsten) MSC: 14P10 26B05 32B20 03C64 PDFBibTeX XMLCite \textit{W. Pawłucki}, Ann. Inst. Fourier 58, No. 2, 383--404 (2008; Zbl 1168.14040) Full Text: DOI Numdam
Bierstone, Edward; Fefferman, Charles; Milman, Pierre D.; Pawłucki, Wiesław Examples concerning Whitney’s \({\mathcal C}^m\) extension problem. (English) Zbl 1109.58014 Math. Res. Lett. 13, No. 5-6, 833-845 (2006). Reviewer: Vincent Thilliez (Villeneuve d’Ascq) MSC: 58C25 26B05 26B99 PDFBibTeX XMLCite \textit{E. Bierstone} et al., Math. Res. Lett. 13, No. 5--6, 833--845 (2006; Zbl 1109.58014) Full Text: DOI
Bierstone, Edward; Milman, Pierre D.; Pawłucki, Wiesław Higher-order tangents and Fefferman’s paper on Whitney’s extension problem. (English) Zbl 1109.58015 Ann. Math. (2) 164, No. 1, 361-370 (2006). Reviewer: Vincent Thilliez (Villeneuve d’Ascq) MSC: 58C25 26B05 26B99 PDFBibTeX XMLCite \textit{E. Bierstone} et al., Ann. Math. (2) 164, No. 1, 361--370 (2006; Zbl 1109.58015) Full Text: DOI
Pawlucki, Wieslaw On the algebra of functions \(\mathcal{C}^k\)-extendable for each \(k\) finite. (English) Zbl 1062.26025 Proc. Am. Math. Soc. 133, No. 2, 481-484 (2005). Reviewer: Wiesław Pleśniak (Kraków) MSC: 26E10 32S05 32B20 PDFBibTeX XMLCite \textit{W. Pawlucki}, Proc. Am. Math. Soc. 133, No. 2, 481--484 (2005; Zbl 1062.26025) Full Text: DOI
Pawłucki, Wiesław Stanisław Łojasiewicz (1926–2002). (Polish) Zbl 1242.01067 Rocz. Pol. Tow. Mat., Ser. II, Wiadom. Mat. 39, 183-190 (2003). MSC: 01A70 PDFBibTeX XMLCite \textit{W. Pawłucki}, Rocz. Pol. Tow. Mat., Ser. II, Wiad. Mat. 39, 183--190 (2003; Zbl 1242.01067)
Bierstone, Edward; Milman, Pierre D.; Pawłucki, Wiesław Differentiable functions defined in closed sets. A problem of Whitney. (English) Zbl 1031.58002 Invent. Math. 151, No. 2, 329-352 (2003). Reviewer: Vincent Thilliez (Villeneuve d’Ascq) MSC: 58C25 32B20 32K15 PDFBibTeX XMLCite \textit{E. Bierstone} et al., Invent. Math. 151, No. 2, 329--352 (2003; Zbl 1031.58002) Full Text: DOI arXiv
Pawłucki, Wiesław A decomposition of a set definable in an o-minimal structure into perfectly situated sets. (English) Zbl 1024.03036 Ann. Pol. Math. 79, No. 2, 171-184 (2002). MSC: 03C64 51M15 51M20 32B20 PDFBibTeX XMLCite \textit{W. Pawłucki}, Ann. Pol. Math. 79, No. 2, 171--184 (2002; Zbl 1024.03036) Full Text: DOI
Pawłucki, Wiesław; Piȩkosz, Artur A remark on the Lion-Rolin Preparation Theorem for LA-functions. (English) Zbl 0948.32013 Ann. Pol. Math. 71, No. 2, 195-197 (1999). MSC: 32B20 33B10 PDFBibTeX XMLCite \textit{W. Pawłucki} and \textit{A. Piȩkosz}, Ann. Pol. Math. 71, No. 2, 195--197 (1999; Zbl 0948.32013) Full Text: DOI
Pawłucki, Wiesław Examples of functions \(C^k\)-extendable for each \(k\) finite, but not \(C^{\infty}\)-extendable. (English) Zbl 0945.32002 Jakubczyk, Bronisław (ed.) et al., Singularities symposium - Łojasiewicz 70. Papers presented at the symposium on singularities on the occasion of the 70th birthday of Stanisław Łojasiewicz, Cracow, Poland, September 25-29, 1996 and the seminar on singularities and geometry, Warsaw, Poland, September 30-October 4, 1996. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 44, 183-187 (1998). Reviewer: Wiesław Pleśniak (Kraków) MSC: 32B20 32A38 26B05 26E10 14P10 PDFBibTeX XMLCite \textit{W. Pawłucki}, Banach Cent. Publ. 44, 183--187 (1998; Zbl 0945.32002)
Kurdyka, Krzysztof; Pawłucki, Wiesław Subanalytic version of Whitney’s extension theorem. (English) Zbl 0955.32006 Stud. Math. 124, No. 3, 269-280 (1997). MSC: 32B20 14P10 26B05 PDFBibTeX XMLCite \textit{K. Kurdyka} and \textit{W. Pawłucki}, Stud. Math. 124, No. 3, 269--280 (1997; Zbl 0955.32006) Full Text: EuDML
Bierstone, Edward; Milman, Pierre D.; Pawłucki, Wiesław Composite differentiable functions. (English) Zbl 0868.32011 Duke Math. J. 83, No. 3, 607-620 (1996). Reviewer: A.V.Chernecky (Odessa) MSC: 32B05 26E10 32B20 PDFBibTeX XMLCite \textit{E. Bierstone} et al., Duke Math. J. 83, No. 3, 607--620 (1996; Zbl 0868.32011) Full Text: DOI arXiv
Pawłucki, Wiesław On Gabrielov’s regularity condition for analytic mappings. (English) Zbl 0773.32009 Duke Math. J. 65, No. 2, 299-311 (1992). Reviewer: M. Hervé (Paris) MSC: 32B20 PDFBibTeX XMLCite \textit{W. Pawłucki}, Duke Math. J. 65, No. 2, 299--311 (1992; Zbl 0773.32009) Full Text: DOI
Pawłucki, Wiesław Points de Nash des ensembles sous-analytiques. (Nash points of sub- analytic sets). (French) Zbl 0694.32002 Mem. Am. Math. Soc. 425, 76 p. (1990). Reviewer: Z.Denkowska MSC: 32B20 PDFBibTeX XMLCite \textit{W. Pawłucki}, Points de Nash des ensembles sous-analytiques. (Nash points of sub- analytic sets). Providence, RI: American Mathematical Society (AMS) (1990; Zbl 0694.32002) Full Text: DOI
Pawłucki, Wiesław On relations among analytic functions and geometry of subanalytic sets. (English) Zbl 0769.32003 Bull. Pol. Acad. Sci., Math. 37, No. 1-6, 117-125 (1989). Reviewer: Z.Denkowska MSC: 32B20 PDFBibTeX XMLCite \textit{W. Pawłucki}, Bull. Pol. Acad. Sci., Math. 37, No. 1--6, 117--125 (1989; Zbl 0769.32003)
Pawłucki, Wiesław; Pleśniak, Wiesław Approximation and extension of \(C^{\infty}\) functions defined on compact subsets of \({\mathbb{C}}^ n\). (English) Zbl 0665.41019 Deformations of mathematical structures, complex analysis with physical applications, Sel. Pap. Semin., Łódź/Poland 1985/87, 283-295 (1989). Reviewer: I.Serb MSC: 41A65 41A63 32D15 PDFBibTeX XML
Pawłucki, Wiesław; Pleśniak, Wiesław Extension of \(C^ \infty\) functions from sets with polynomial cusps. (English) Zbl 0778.26010 Stud. Math. 88, No. 3, 279-287 (1988). Reviewer: N.M.Zobin (Haifa) MSC: 26E10 PDFBibTeX XMLCite \textit{W. Pawłucki} and \textit{W. Pleśniak}, Stud. Math. 88, No. 3, 279--287 (1988; Zbl 0778.26010) Full Text: DOI
Pawlucki, Wiesław; Pleśniak, Wiesław Prolongement de fonctions \({\mathcal C}^\infty\). (Extension of \({\mathcal C}^\infty\) functions). (French) Zbl 0639.26015 C. R. Acad. Sci., Paris, Sér. I 304, 167-168 (1987). Reviewer: J.W.Neuberger MSC: 26E10 PDFBibTeX XMLCite \textit{W. Pawlucki} and \textit{W. Pleśniak}, C. R. Acad. Sci., Paris, Sér. I 304, 167--168 (1987; Zbl 0639.26015)
Pawłucki, W.; Pleśniak, Wieslaw Markov’s inequality and \(C^{\infty}\)-functions on subanalytic sets. (English) Zbl 0617.41011 A. Haar Mem. Conf., Budapest/Hung. 1985, Colloq. Math. Soc. János Bolyai 49, 703-709 (1987). Reviewer: F.Haslinger MSC: 41A10 41A63 PDFBibTeX XML
Pawlucki, Wiesław Sur les points de Nash d’un ensemble sous-analytique. (On Nash points of a subanalytic set). (French) Zbl 0616.32011 C. R. Acad. Sci., Paris, Sér. I 303, 873-875 (1986). Reviewer: M.-F.Roy MSC: 32B20 PDFBibTeX XMLCite \textit{W. Pawlucki}, C. R. Acad. Sci., Paris, Sér. I 303, 873--875 (1986; Zbl 0616.32011)
Pawłucki, Wiesław Sur les points de Nash des ensembles sous-analytiques. (Nash points of subanalytic sets). (French) Zbl 0615.32003 Bull. Pol. Acad. Sci., Math. 34, 541-545 (1986). Reviewer: Z.Denkowska MSC: 32B20 32B05 PDFBibTeX XMLCite \textit{W. Pawłucki}, Bull. Pol. Acad. Sci., Math. 34, 541--545 (1986; Zbl 0615.32003)
Pawłucki, W.; Pleśniak, Wieslaw Markov’s inequality and \(C^{\infty}\) functions on sets with polynomial cusps. (English) Zbl 0579.32020 Math. Ann. 275, 467-480 (1986). MSC: 32E20 32B20 26D05 26D10 26E10 PDFBibTeX XMLCite \textit{W. Pawłucki} and \textit{W. Pleśniak}, Math. Ann. 275, 467--480 (1986; Zbl 0579.32020) Full Text: DOI
Pawłucki, Wiesław Quasi-regular boundary and Stokes’ formula for a sub-analytic leaf. (English) Zbl 0594.32011 Deformations, Proc. Semin., Łódź-Warsaw/Pol. 1982/84, Lect. Notes Math. 1165, 235-252 (1985). Reviewer: K.Lancaster MSC: 32B20 26B20 PDFBibTeX XML
Pawłucki, Wiesław Sur les points réguliers d’un ensemble semi-analytique. (French) Zbl 0575.32007 Bull. Pol. Acad. Sci., Math. 32, 549-553 (1984). Reviewer: Z.Denkowska MSC: 32B20 PDFBibTeX XMLCite \textit{W. Pawłucki}, Bull. Pol. Acad. Sci., Math. 32, 549--553 (1984; Zbl 0575.32007)
Pawłucki, Wiesław Le théorème de Puiseux pour une application sous-analytique. (French) Zbl 0574.32010 Bull. Pol. Acad. Sci., Math. 32, 555-560 (1984). Reviewer: N.Mihalache MSC: 32B20 32D15 32C05 PDFBibTeX XMLCite \textit{W. Pawłucki}, Bull. Pol. Acad. Sci., Math. 32, 555--560 (1984; Zbl 0574.32010)