Apter, Arthur W. Strong combinatorial principles and level by level equivalence. (English) Zbl 07680414 Boll. Unione Mat. Ital. 16, No. 1, 135-150 (2023). MSC: 03E35 03E55 PDFBibTeX XMLCite \textit{A. W. Apter}, Boll. Unione Mat. Ital. 16, No. 1, 135--150 (2023; Zbl 07680414) Full Text: DOI
Apter, Arthur W. Controlling the number of normal measures at successor cardinals. (English) Zbl 1521.03172 Math. Log. Q. 68, No. 3, 304-309 (2022). MSC: 03E35 03E55 03E25 PDFBibTeX XMLCite \textit{A. W. Apter}, Math. Log. Q. 68, No. 3, 304--309 (2022; Zbl 1521.03172) Full Text: DOI
Apter, Arthur W.; Dimopoulos, Stamatis; Usuba, Toshimichi Strongly compact cardinals and the continuum function. (English) Zbl 1491.03036 Ann. Pure Appl. Logic 172, No. 9, Article ID 103013, 12 p. (2021). Reviewer: Tetsuya Ishiu (Oxford, Ohio) MSC: 03E35 03E55 PDFBibTeX XMLCite \textit{A. W. Apter} et al., Ann. Pure Appl. Logic 172, No. 9, Article ID 103013, 12 p. (2021; Zbl 1491.03036) Full Text: DOI arXiv
Apter, Arthur W.; Friedman, Shoshana; Fuchs, Gunter More on HOD-supercompactness. (English) Zbl 1498.03114 Ann. Pure Appl. Logic 172, No. 3, Article ID 102901, 20 p. (2021). MSC: 03E35 03E45 03E55 PDFBibTeX XMLCite \textit{A. W. Apter} et al., Ann. Pure Appl. Logic 172, No. 3, Article ID 102901, 20 p. (2021; Zbl 1498.03114) Full Text: DOI
Apter, Arthur W. The consistency of level by level equivalence with \(V=\mathrm{HOD}\), the ground axiom, and instances of square and diamond. (English) Zbl 1484.03107 Bull. Pol. Acad. Sci., Math. 68, No. 1, 1-10 (2020). MSC: 03E35 03E55 PDFBibTeX XMLCite \textit{A. W. Apter}, Bull. Pol. Acad. Sci., Math. 68, No. 1, 1--10 (2020; Zbl 1484.03107) Full Text: DOI
Adolf, Dominik; Apter, Arthur W.; Koepke, Peter Singularizing successor cardinals by forcing. (English) Zbl 1477.03202 Proc. Am. Math. Soc. 146, No. 2, 773-783 (2018). MSC: 03E35 03E45 03E55 03E40 PDFBibTeX XMLCite \textit{D. Adolf} et al., Proc. Am. Math. Soc. 146, No. 2, 773--783 (2018; Zbl 1477.03202) Full Text: DOI
Apter, Arthur W. Precisely controlling level by level behavior. (English) Zbl 1469.03141 Math. Log. Q. 63, No. 1-2, 77-84 (2017). MSC: 03E35 03E55 PDFBibTeX XMLCite \textit{A. W. Apter}, Math. Log. Q. 63, No. 1--2, 77--84 (2017; Zbl 1469.03141) Full Text: DOI
Apter, Arthur W. On the consistency strength of level by level inequivalence. (English) Zbl 1417.03259 Arch. Math. Logic 56, No. 7-8, 715-723 (2017). MSC: 03E35 03E55 PDFBibTeX XMLCite \textit{A. W. Apter}, Arch. Math. Logic 56, No. 7--8, 715--723 (2017; Zbl 1417.03259) Full Text: DOI
Apter, Arthur W.; Dimitriou, Ioanna M.; Koepke, Peter All uncountable cardinals in the Gitik model are almost Ramsey and carry Rowbottom filters. (English) Zbl 1432.03102 Math. Log. Q. 62, No. 3, 225-231 (2016). MSC: 03E55 03E35 PDFBibTeX XMLCite \textit{A. W. Apter} et al., Math. Log. Q. 62, No. 3, 225--231 (2016; Zbl 1432.03102) Full Text: DOI
Apter, Arthur W. Indestructibility and destructible measurable cardinals. (English) Zbl 1402.03072 Arch. Math. Logic 55, No. 1-2, 3-18 (2016). MSC: 03E55 03E35 PDFBibTeX XMLCite \textit{A. W. Apter}, Arch. Math. Logic 55, No. 1--2, 3--18 (2016; Zbl 1402.03072) Full Text: DOI
Apter, Arthur W. Mixed levels of indestructibility. (English) Zbl 1347.03089 Bull. Pol. Acad. Sci., Math. 63, No. 2, 113-122 (2015). MSC: 03E35 03E55 PDFBibTeX XMLCite \textit{A. W. Apter}, Bull. Pol. Acad. Sci., Math. 63, No. 2, 113--122 (2015; Zbl 1347.03089) Full Text: DOI Link
Apter, Arthur W. A universal indestructibility theorem compatible with level by level equivalence. (English) Zbl 1375.03060 Arch. Math. Logic 54, No. 3-4, 463-470 (2015). MSC: 03E35 03E55 PDFBibTeX XMLCite \textit{A. W. Apter}, Arch. Math. Logic 54, No. 3--4, 463--470 (2015; Zbl 1375.03060) Full Text: DOI
Apter, Arthur W. Inaccessible cardinals, failures of GCH, and level-by-level equivalence. (English) Zbl 1335.03044 Notre Dame J. Formal Logic 55, No. 4, 431-444 (2014). MSC: 03E35 03E55 PDFBibTeX XMLCite \textit{A. W. Apter}, Notre Dame J. Formal Logic 55, No. 4, 431--444 (2014; Zbl 1335.03044) Full Text: DOI Euclid Link
Apter, Arthur W.; Dimitriou, Ioanna M.; Koepke, Peter The first measurable cardinal can be the first uncountable regular cardinal at any successor height. (English) Zbl 1339.03040 Math. Log. Q. 60, No. 6, 471-486 (2014). MSC: 03E55 03E35 PDFBibTeX XMLCite \textit{A. W. Apter} et al., Math. Log. Q. 60, No. 6, 471--486 (2014; Zbl 1339.03040) Full Text: DOI
Apter, Arthur W.; Gitik, Moti On tall cardinals and some related generalizations. (English) Zbl 1341.03076 Isr. J. Math. 202, 343-373 (2014). MSC: 03E55 03E35 PDFBibTeX XMLCite \textit{A. W. Apter} and \textit{M. Gitik}, Isr. J. Math. 202, 343--373 (2014; Zbl 1341.03076) Full Text: DOI
Apter, Arthur W. Indestructible strong compactness and level by level inequivalence. (English) Zbl 1291.03093 Math. Log. Q. 59, No. 4-5, 371-377 (2013). MSC: 03E35 03E55 PDFBibTeX XMLCite \textit{A. W. Apter}, Math. Log. Q. 59, No. 4--5, 371--377 (2013; Zbl 1291.03093) Full Text: DOI
Apter, Arthur W.; Cody, Brent Consecutive singular cardinals and the continuum function. (English) Zbl 1284.03235 Notre Dame J. Formal Logic 54, No. 2, 125-136 (2013). MSC: 03E55 03E25 03E35 03E45 03E50 PDFBibTeX XMLCite \textit{A. W. Apter} and \textit{B. Cody}, Notre Dame J. Formal Logic 54, No. 2, 125--136 (2013; Zbl 1284.03235) Full Text: DOI arXiv Euclid
Apter, Arthur W.; Jackson, Stephen C.; Löwe, Benedikt Cofinality and measurability of the first three uncountable cardinals. (English) Zbl 1306.03021 Trans. Am. Math. Soc. 365, No. 1, 59-98 (2013). Reviewer: Martin Weese (Potsdam) MSC: 03E02 03E35 03E55 03E60 03E10 03E15 03E25 PDFBibTeX XMLCite \textit{A. W. Apter} et al., Trans. Am. Math. Soc. 365, No. 1, 59--98 (2013; Zbl 1306.03021) Full Text: DOI
Apter, Arthur W.; Gitik, Moti; Sargsyan, Grigor Indestructible strong compactness but not supercompactness. (English) Zbl 1250.03092 Ann. Pure Appl. Logic 163, No. 9, 1237-1242 (2012). MSC: 03E35 03E55 PDFBibTeX XMLCite \textit{A. W. Apter} et al., Ann. Pure Appl. Logic 163, No. 9, 1237--1242 (2012; Zbl 1250.03092) Full Text: DOI
Apter, Arthur W.; Gitman, Victoria; Hamkins, Joel David Inner models with large cardinal features usually obtained by forcing. (English) Zbl 1250.03104 Arch. Math. Logic 51, No. 3-4, 257-283 (2012). MSC: 03E45 03E40 03E55 PDFBibTeX XMLCite \textit{A. W. Apter} et al., Arch. Math. Logic 51, No. 3--4, 257--283 (2012; Zbl 1250.03104) Full Text: DOI arXiv Backlinks: MO
Apter, Arthur W. Indestructibility, measurability, and degrees of supercompactness. (English) Zbl 1250.03091 Math. Log. Q. 58, No. 1-2, 75-82 (2012). MSC: 03E35 03E55 PDFBibTeX XMLCite \textit{A. W. Apter}, Math. Log. Q. 58, No. 1--2, 75--82 (2012; Zbl 1250.03091) Full Text: DOI
Apter, Arthur W. Level by level inequivalence beyond measurability. (English) Zbl 1250.03090 Arch. Math. Logic 50, No. 7-8, 707-712 (2011). MSC: 03E35 03E55 PDFBibTeX XMLCite \textit{A. W. Apter}, Arch. Math. Logic 50, No. 7--8, 707--712 (2011; Zbl 1250.03090) Full Text: DOI
Apter, Arthur W.; Friedman, Shoshana Coding into HOD via normal measures with some applications. (English) Zbl 1270.03089 Math. Log. Q. 57, No. 4, 366-372 (2011). MSC: 03E35 03E45 03E50 03E55 PDFBibTeX XMLCite \textit{A. W. Apter} and \textit{S. Friedman}, Math. Log. Q. 57, No. 4, 366--372 (2011; Zbl 1270.03089) Full Text: DOI
Apter, Arthur W. Indestructibility, instances of strong compactness, and level by level inequivalence. (English) Zbl 1208.03052 Arch. Math. Logic 49, No. 7-8, 725-741 (2010). MSC: 03E35 03E55 PDFBibTeX XMLCite \textit{A. W. Apter}, Arch. Math. Logic 49, No. 7--8, 725--741 (2010; Zbl 1208.03052) Full Text: DOI
Apter, Arthur W. Tallness and level by level equivalence and inequivalence. (English) Zbl 1184.03050 Math. Log. Q. 56, No. 1, 4-12 (2010). MSC: 03E35 03E55 PDFBibTeX XMLCite \textit{A. W. Apter}, Math. Log. Q. 56, No. 1, 4--12 (2010; Zbl 1184.03050) Full Text: DOI
Apter, Arthur W. Indestructibility under adding Cohen subsets and level by level equivalence. (English) Zbl 1165.03043 Math. Log. Q. 55, No. 3, 271-279 (2009). MSC: 03E55 03E35 PDFBibTeX XMLCite \textit{A. W. Apter}, Math. Log. Q. 55, No. 3, 271--279 (2009; Zbl 1165.03043) Full Text: DOI
Apter, Arthur W. Indestructibility and measurable cardinals with few and many measures. (English) Zbl 1153.03031 Arch. Math. Logic 47, No. 2, 101-110 (2008). MSC: 03E35 03E55 PDFBibTeX XMLCite \textit{A. W. Apter}, Arch. Math. Logic 47, No. 2, 101--110 (2008; Zbl 1153.03031) Full Text: DOI
Apter, Arthur W.; Cummings, James An \(L\)-like model containing very large cardinals. (English) Zbl 1145.03031 Arch. Math. Logic 47, No. 1, 65-78 (2008). MSC: 03E55 03E35 PDFBibTeX XMLCite \textit{A. W. Apter} and \textit{J. Cummings}, Arch. Math. Logic 47, No. 1, 65--78 (2008; Zbl 1145.03031) Full Text: DOI
Apter, Arthur W.; Cummings, James; Hamkins, Joel David Large cardinals with few measures. (English) Zbl 1115.03075 Proc. Am. Math. Soc. 135, No. 7, 2291-2300 (2007). MSC: 03E55 03E35 PDFBibTeX XMLCite \textit{A. W. Apter} et al., Proc. Am. Math. Soc. 135, No. 7, 2291--2300 (2007; Zbl 1115.03075) Full Text: DOI arXiv
Apter, Arthur W. The least strongly compact can be the least strong and indestructible. (English) Zbl 1115.03073 Ann. Pure Appl. Logic 144, No. 1-3, 33-42 (2006). Reviewer: Pierre Matet (Caen) MSC: 03E55 03E35 PDFBibTeX XMLCite \textit{A. W. Apter}, Ann. Pure Appl. Logic 144, No. 1--3, 33--42 (2006; Zbl 1115.03073) Full Text: DOI
Apter, Arthur W.; Koepke, Peter The consistency strength of \(\aleph_\omega\) and \(\aleph_{\omega_1}\) being Rowbottom cardinals without the axiom of choice. (English) Zbl 1099.03038 Arch. Math. Logic 45, No. 6, 721-737 (2006). MSC: 03E35 03E45 03E55 03E02 03E25 PDFBibTeX XMLCite \textit{A. W. Apter} and \textit{P. Koepke}, Arch. Math. Logic 45, No. 6, 721--737 (2006; Zbl 1099.03038) Full Text: DOI
Apter, Arthur W.; Sargsyan, Grigor Identity crises and strong compactness. III: Woodin cardinals. (English) Zbl 1086.03037 Arch. Math. Logic 45, No. 3, 307-322 (2006). MSC: 03E35 03E55 PDFBibTeX XMLCite \textit{A. W. Apter} and \textit{G. Sargsyan}, Arch. Math. Logic 45, No. 3, 307--322 (2006; Zbl 1086.03037) Full Text: DOI
Apter, Arthur W. Diamond, square, and level by level equivalence. (English) Zbl 1068.03038 Arch. Math. Logic 44, No. 3, 387-395 (2005). MSC: 03E35 03E55 PDFBibTeX XMLCite \textit{A. W. Apter}, Arch. Math. Logic 44, No. 3, 387--395 (2005; Zbl 1068.03038) Full Text: DOI
Apter, Arthur W.; Hamkins, Joel David Indestructibility and the level-by-level agreement between strong compactness and supercompactness. (English) Zbl 1010.03043 J. Symb. Log. 67, No. 2, 820-840 (2002). MSC: 03E55 03E35 PDFBibTeX XMLCite \textit{A. W. Apter} and \textit{J. D. Hamkins}, J. Symb. Log. 67, No. 2, 820--840 (2002; Zbl 1010.03043) Full Text: DOI arXiv Link
Apter, Arthur W.; Cummings, James A global version of a theorem of Ben-David and Magidor. (English) Zbl 0948.03049 Ann. Pure Appl. Logic 102, No. 3, 199-222 (2000). Reviewer: K.P.Hart (Delft) MSC: 03E55 03E05 03E35 PDFBibTeX XMLCite \textit{A. W. Apter} and \textit{J. Cummings}, Ann. Pure Appl. Logic 102, No. 3, 199--222 (2000; Zbl 0948.03049) Full Text: DOI
Apter, Arthur W.; Shelah, Saharon Menas’ result is best possible. (English) Zbl 0876.03030 Trans. Am. Math. Soc. 349, No. 5, 2007-2034 (1997). Reviewer: J.M.Plotkin (East Lansing) MSC: 03E55 03E35 PDFBibTeX XMLCite \textit{A. W. Apter} and \textit{S. Shelah}, Trans. Am. Math. Soc. 349, No. 5, 2007--2034 (1997; Zbl 0876.03030) Full Text: DOI arXiv
Apter, Arthur W.; Magidor, Menachem Instances of dependent choice and the measurability of \(\aleph _{\omega +1}\). (English) Zbl 0842.03038 Ann. Pure Appl. Logic 74, No. 3, 203-219 (1995). Reviewer: P.Matet (Caen) MSC: 03E35 03E55 03E25 PDFBibTeX XMLCite \textit{A. W. Apter} and \textit{M. Magidor}, Ann. Pure Appl. Logic 74, No. 3, 203--219 (1995; Zbl 0842.03038) Full Text: DOI
Apter, Arthur W. On the class of measurable cardinals without the axiom of choice. (English) Zbl 0781.03036 Isr. J. Math. 79, No. 2-3, 367-379 (1992). Reviewer: N.Brunner (Wien) MSC: 03E25 03E35 03E55 PDFBibTeX XMLCite \textit{A. W. Apter}, Isr. J. Math. 79, No. 2--3, 367--379 (1992; Zbl 0781.03036) Full Text: DOI
Apter, Arthur W. Successors of singular cardinals and measurability. (English) Zbl 0615.03040 Adv. Math. 55, 228-241 (1985). Reviewer: J.M.Plotkin MSC: 03E55 PDFBibTeX XMLCite \textit{A. W. Apter}, Adv. Math. 55, 228--241 (1985; Zbl 0615.03040) Full Text: DOI
Apter, Arthur W. Some results on consecutive large cardinals. (English) Zbl 0548.03030 Ann. Pure Appl. Logic 25, 1-17 (1983). Reviewer: L.P.de Alcantara MSC: 03E55 PDFBibTeX XMLCite \textit{A. W. Apter}, Ann. Pure Appl. Logic 25, 1--17 (1983; Zbl 0548.03030) Full Text: DOI
Apter, Arthur W. On the least strongly compact cardinal. (English) Zbl 0457.03052 Isr. J. Math. 35, 225-233 (1980). MSC: 03E55 03E35 PDFBibTeX XMLCite \textit{A. W. Apter}, Isr. J. Math. 35, 225--233 (1980; Zbl 0457.03052) Full Text: DOI