Apter, Arthur W.; Cummings, James Normal measures on large cardinals. (English) Zbl 07650587 Trans. Am. Math. Soc., Ser. B 10, 129-154 (2023). MSC: 03E35 03E55 03E45 PDF BibTeX XML Cite \textit{A. W. Apter} and \textit{J. Cummings}, Trans. Am. Math. Soc., Ser. B 10, 129--154 (2023; Zbl 07650587) Full Text: DOI OpenURL
Goldberg, Gabriel Strong compactness and the ultrapower axiom. I: The least strongly compact cardinal. (English) Zbl 07566936 J. Math. Log. 22, No. 2, Article ID 2250005, 41 p. (2022). MSC: 03-XX PDF BibTeX XML Cite \textit{G. Goldberg}, J. Math. Log. 22, No. 2, Article ID 2250005, 41 p. (2022; Zbl 07566936) Full Text: DOI OpenURL
Apter, Arthur W. Indestructibility when the first two measurable cardinals are strongly compact. (English) Zbl 07506776 J. Symb. Log. 87, No. 1, 214-227 (2022). MSC: 03E35 03E55 PDF BibTeX XML Cite \textit{A. W. Apter}, J. Symb. Log. 87, No. 1, 214--227 (2022; Zbl 07506776) Full Text: DOI OpenURL
Apter, Arthur W. The ultrapower axiom UA and the number of normal measures over \(\aleph_1\) and \(\aleph_2\). (English) Zbl 1496.03195 Tbil. Math. J. 14, No. 1, 49-53 (2021). MSC: 03E35 03E45 03E55 03E65 PDF BibTeX XML Cite \textit{A. W. Apter}, Tbil. Math. J. 14, No. 1, 49--53 (2021; Zbl 1496.03195) Full Text: DOI OpenURL
Goldberg, Gabriel The ultrapower axiom and the GCH. (English) Zbl 07419667 J. Math. Log. 21, No. 3, Article ID 2150017, 22 p. (2021). MSC: 03E55 PDF BibTeX XML Cite \textit{G. Goldberg}, J. Math. Log. 21, No. 3, Article ID 2150017, 22 p. (2021; Zbl 07419667) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \textit{A. W. Apter}, Bull. Pol. Acad. Sci., Math. 68, No. 1, 1--10 (2020; Zbl 1484.03107) Full Text: DOI OpenURL
Ben-Neria, Omer; Garti, Shimon On configurations concerning cardinal characteristics at regular cardinals. (English) Zbl 1485.03204 J. Symb. Log. 85, No. 2, 691-708 (2020). MSC: 03E17 03E35 03E50 03E55 PDF BibTeX XML Cite \textit{O. Ben-Neria} and \textit{S. Garti}, J. Symb. Log. 85, No. 2, 691--708 (2020; Zbl 1485.03204) Full Text: DOI arXiv OpenURL
Apter, Arthur W. Tall, strong, and strongly compact cardinals. (English) Zbl 1438.03018 Sarajevo J. Math. 15(28), No. 1, 7-22 (2019). MSC: 03E55 03E35 PDF BibTeX XML Cite \textit{A. W. Apter}, Sarajevo J. Math. 15(28), No. 1, 7--22 (2019; Zbl 1438.03018) OpenURL
Du, Jin Diamond, scales and GCH down to \(\aleph_{\omega^2}\). (English) Zbl 1477.03206 Arch. Math. Logic 58, No. 3-4, 427-442 (2019). MSC: 03E35 03E05 03E55 PDF BibTeX XML Cite \textit{J. Du}, Arch. Math. Logic 58, No. 3--4, 427--442 (2019; Zbl 1477.03206) Full Text: DOI OpenURL
Apter, Arthur W. Normal measures and strongly compact cardinals. (English) Zbl 1459.03084 Boll. Unione Mat. Ital. 11, No. 2, 283-292 (2018). MSC: 03E55 03E35 PDF BibTeX XML Cite \textit{A. W. Apter}, Boll. Unione Mat. Ital. 11, No. 2, 283--292 (2018; Zbl 1459.03084) Full Text: DOI OpenURL
Goldberg, Gabriel The linearity of the Mitchell order. (English) Zbl 06887315 J. Math. Log. 18, No. 1, Article ID 1850005, 17 p. (2018). MSC: 03E45 PDF BibTeX XML Cite \textit{G. Goldberg}, J. Math. Log. 18, No. 1, Article ID 1850005, 17 p. (2018; Zbl 06887315) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{D. Adolf} et al., Proc. Am. Math. Soc. 146, No. 2, 773--783 (2018; Zbl 1477.03202) Full Text: DOI OpenURL
Golshani, Mohammad; Hayut, Yair The tree property on a countable segment of successors of singular cardinals. (English) Zbl 1387.03038 Fundam. Math. 240, No. 2, 199-204 (2018). Reviewer: K. P. Hart (Delft) MSC: 03E35 03E05 03E55 PDF BibTeX XML Cite \textit{M. Golshani} and \textit{Y. Hayut}, Fundam. Math. 240, No. 2, 199--204 (2018; Zbl 1387.03038) Full Text: DOI arXiv OpenURL
Pereira, L. Morasses, semimorasses and supercompact ultrafilters. (English) Zbl 1399.03011 Acta Math. Hung. 152, No. 1, 257-268 (2017). Reviewer: K. P. Hart (Delft) MSC: 03E05 03E04 03E10 03E35 03E55 PDF BibTeX XML Cite \textit{L. Pereira}, Acta Math. Hung. 152, No. 1, 257--268 (2017; Zbl 1399.03011) Full Text: DOI OpenURL
Cummings, James; Morgan, Charles Dowker and super-Dowker filters. (English) Zbl 1392.03048 Proc. Am. Math. Soc. 145, No. 12, 5381-5390 (2017). Reviewer: Tetsuya Ishiu (Oxford, Ohio) MSC: 03E35 03E55 03E05 PDF BibTeX XML Cite \textit{J. Cummings} and \textit{C. Morgan}, Proc. Am. Math. Soc. 145, No. 12, 5381--5390 (2017; Zbl 1392.03048) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{A. W. Apter}, Arch. Math. Logic 56, No. 7--8, 715--723 (2017; Zbl 1417.03259) Full Text: DOI OpenURL
Cummings, James; Džamonja, Mirna; Magidor, Menachem; Morgan, Charles; Shelah, Saharon A framework for forcing constructions at successors of singular cardinals. (English) Zbl 1423.03185 Trans. Am. Math. Soc. 369, No. 10, 7405-7441 (2017). MSC: 03E35 03E55 03E75 PDF BibTeX XML Cite \textit{J. Cummings} et al., Trans. Am. Math. Soc. 369, No. 10, 7405--7441 (2017; Zbl 1423.03185) Full Text: DOI arXiv OpenURL
Apter, Arthur W. A new Easton theorem for supercompactness and level by level equivalence. (English) Zbl 1420.03129 Bull. Pol. Acad. Sci., Math. 65, No. 1, 1-10 (2017). MSC: 03E35 03E55 PDF BibTeX XML Cite \textit{A. W. Apter}, Bull. Pol. Acad. Sci., Math. 65, No. 1, 1--10 (2017; Zbl 1420.03129) Full Text: DOI OpenURL
Brooke-Taylor, A. D.; Fischer, V.; Friedman, S. D.; Montoya, D. C. Cardinal characteristics at \(\kappa\) in a small \(\mathfrak{u}(\kappa)\) model. (English) Zbl 1422.03103 Ann. Pure Appl. Logic 168, No. 1, 37-49 (2017). MSC: 03E17 03E35 03E55 PDF BibTeX XML Cite \textit{A. D. Brooke-Taylor} et al., Ann. Pure Appl. Logic 168, No. 1, 37--49 (2017; Zbl 1422.03103) Full Text: DOI arXiv Backlinks: MO OpenURL
Apter, Arthur W. Indestructibility and the Levinski property. (English) Zbl 1424.03024 Sarajevo J. Math. 12(24), No. 1, 3-16 (2016). MSC: 03E35 03E55 PDF BibTeX XML Cite \textit{A. W. Apter}, Sarajevo J. Math. 12(24), No. 1, 3--16 (2016; Zbl 1424.03024) Full Text: DOI OpenURL
Cummings, James; Lambie-Hanson, Chris Bounded stationary reflection. (English) Zbl 1353.03053 Proc. Am. Math. Soc. 144, No. 2, 861-873 (2016). Reviewer: J. M. Plotkin (East Lansing) MSC: 03E05 03E35 03E55 PDF BibTeX XML Cite \textit{J. Cummings} and \textit{C. Lambie-Hanson}, Proc. Am. Math. Soc. 144, No. 2, 861--873 (2016; Zbl 1353.03053) Full Text: DOI Link OpenURL
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 PDF BibTeX XML Cite \textit{A. W. Apter}, Arch. Math. Logic 55, No. 1--2, 3--18 (2016; Zbl 1402.03072) Full Text: DOI OpenURL
Apter, Arthur W. Indestructible strong compactness and level by level equivalence with no large cardinal restrictions. (English) Zbl 1336.03053 Bull. Pol. Acad. Sci., Math. 63, No. 3, 185-194 (2015). MSC: 03E35 03E55 PDF BibTeX XML Cite \textit{A. W. Apter}, Bull. Pol. Acad. Sci., Math. 63, No. 3, 185--194 (2015; Zbl 1336.03053) Full Text: DOI Link OpenURL
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 PDF BibTeX XML Cite \textit{A. W. Apter}, Bull. Pol. Acad. Sci., Math. 63, No. 2, 113--122 (2015; Zbl 1347.03089) Full Text: DOI Link OpenURL
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 PDF BibTeX XML Cite \textit{A. W. Apter}, Arch. Math. Logic 54, No. 3--4, 463--470 (2015; Zbl 1375.03060) Full Text: DOI OpenURL
Bagaria, Joan; Casacuberta, Carles; Mathias, A. R. D.; Rosický, Jiří Definable orthogonality classes in accessible categories are small. (English) Zbl 1373.03108 J. Eur. Math. Soc. (JEMS) 17, No. 3, 549-589 (2015). MSC: 03E55 03C55 18A40 55P60 18C35 PDF BibTeX XML Cite \textit{J. Bagaria} et al., J. Eur. Math. Soc. (JEMS) 17, No. 3, 549--589 (2015; Zbl 1373.03108) Full Text: DOI arXiv OpenURL
Sinapova, Dima Hybrid Prikry forcing. (English) Zbl 1373.03071 Fundam. Math. 228, No. 2, 139-152 (2015). MSC: 03E04 03E35 03E55 03E40 PDF BibTeX XML Cite \textit{D. Sinapova}, Fundam. Math. 228, No. 2, 139--152 (2015; Zbl 1373.03071) Full Text: DOI Link OpenURL
Woodin, W. Hugh The weak ultimate L conjecture. (English) Zbl 1358.03079 Geschke, Stefan (ed.) et al., Infinity, computability and metamathematics. Festschrift celebrating the 60th birthdays of Peter Koepke and Philip Welch. London: College Publications (ISBN 978-1-84890-130-8/hbk). 309-329 (2014). MSC: 03E45 03E55 03E65 03E60 PDF BibTeX XML Cite \textit{W. H. Woodin}, in: Infinity, computability and metamathematics. Festschrift celebrating the 60th birthdays of Peter Koepke and Philip Welch. London: College Publications. 309--329 (2014; Zbl 1358.03079) OpenURL
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 PDF BibTeX XML Cite \textit{A. W. Apter}, Notre Dame J. Formal Logic 55, No. 4, 431--444 (2014; Zbl 1335.03044) Full Text: DOI Euclid Link OpenURL
Apter, Arthur W.; Friedman, Shoshana HOD-supercompactness, indestructibility, and level by level equivalence. (English) Zbl 1311.03073 Bull. Pol. Acad. Sci., Math. 62, No. 3, 197-209 (2014). MSC: 03E35 03E45 03E55 PDF BibTeX XML Cite \textit{A. W. Apter} and \textit{S. Friedman}, Bull. Pol. Acad. Sci., Math. 62, No. 3, 197--209 (2014; Zbl 1311.03073) Full Text: DOI Link OpenURL
Apter, Arthur W. Singular failures of GCH and level by level equivalence. (English) Zbl 1477.03203 Bull. Pol. Acad. Sci., Math. 62, No. 1, 11-21 (2014). MSC: 03E35 03E55 03E50 PDF BibTeX XML Cite \textit{A. W. Apter}, Bull. Pol. Acad. Sci., Math. 62, No. 1, 11--21 (2014; Zbl 1477.03203) Full Text: DOI Link OpenURL
Bagaria, Joan; Magidor, Menachem Group radicals and strongly compact cardinals. (English) Zbl 1349.03055 Trans. Am. Math. Soc. 366, No. 4, 1857-1877 (2014). MSC: 03E35 03E55 16S90 18E40 PDF BibTeX XML Cite \textit{J. Bagaria} and \textit{M. Magidor}, Trans. Am. Math. Soc. 366, No. 4, 1857--1877 (2014; Zbl 1349.03055) Full Text: DOI Backlinks: MO OpenURL
Sinapova, Dima; Unger, Spencer Combinatorics at \(\aleph_\omega\). (English) Zbl 1345.03089 Ann. Pure Appl. Logic 165, No. 4, 996-1007 (2014). MSC: 03E04 03E05 03E35 03E55 PDF BibTeX XML Cite \textit{D. Sinapova} and \textit{S. Unger}, Ann. Pure Appl. Logic 165, No. 4, 996--1007 (2014; Zbl 1345.03089) Full Text: DOI OpenURL
Cody, Brent; Magidor, Menachem On supercompactness and the continuum function. (English) Zbl 1323.03069 Ann. Pure Appl. Logic 165, No. 2, 620-630 (2014). MSC: 03E55 03E05 03E35 03E40 03E50 PDF BibTeX XML Cite \textit{B. Cody} and \textit{M. Magidor}, Ann. Pure Appl. Logic 165, No. 2, 620--630 (2014; Zbl 1323.03069) Full Text: DOI arXiv OpenURL
Apter, Arthur W. Some remarks on tall cardinals and failures of GCH. (English) Zbl 1349.03054 Bull. Pol. Acad. Sci., Math. 61, No. 2, 97-106 (2013). MSC: 03E35 03E50 03E55 PDF BibTeX XML Cite \textit{A. W. Apter}, Bull. Pol. Acad. Sci., Math. 61, No. 2, 97--106 (2013; Zbl 1349.03054) Full Text: DOI Link OpenURL
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 PDF BibTeX XML Cite \textit{A. W. Apter}, Math. Log. Q. 59, No. 4--5, 371--377 (2013; Zbl 1291.03093) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Apter, Arthur W. On some questions concerning strong compactness. (English) Zbl 1261.03146 Arch. Math. Logic 51, No. 7-8, 819-829 (2012). Reviewer: Christoph Weiss (Irvine) MSC: 03E55 03E50 03E25 03E35 03E45 PDF BibTeX XML Cite \textit{A. W. Apter}, Arch. Math. Logic 51, No. 7--8, 819--829 (2012; Zbl 1261.03146) Full Text: DOI OpenURL
Tall, Franklin D. \(\mathsf{PFA}(S)[S]\) and the Arhangel’skiĭ-Tall problem. (English) Zbl 1268.54003 Topol. Proc. 40, 99-108 (2012). Reviewer: Rodrigo R. Dias (Sao Paulo) MSC: 54A35 54D15 54D45 03E35 03E55 03E57 03E75 PDF BibTeX XML Cite \textit{F. D. Tall}, Topol. Proc. 40, 99--108 (2012; Zbl 1268.54003) Full Text: arXiv OpenURL
Apter, Arthur W. More Easton theorems for level by level equivalence. (English) Zbl 1267.03051 Colloq. Math. 128, No. 1, 69-86 (2012). Reviewer: Mohammad Golshani (Tehran) MSC: 03E35 03E55 PDF BibTeX XML Cite \textit{A. W. Apter}, Colloq. Math. 128, No. 1, 69--86 (2012; Zbl 1267.03051) Full Text: DOI Link OpenURL
Weiß, Christoph The combinatorial essence of supercompactness. (English) Zbl 1280.03051 Ann. Pure Appl. Logic 163, No. 11, 1710-1717 (2012). Reviewer: Xianghui Shi (Beijing) MSC: 03E55 03E05 03E35 03E65 PDF BibTeX XML Cite \textit{C. Weiß}, Ann. Pure Appl. Logic 163, No. 11, 1710--1717 (2012; Zbl 1280.03051) Full Text: DOI arXiv OpenURL
Sinapova, Dima The tree property and the failure of SCH at uncountable cofinality. (English) Zbl 1270.03103 Arch. Math. Logic 51, No. 5-6, 553-562 (2012). MSC: 03E55 03E05 03E35 PDF BibTeX XML Cite \textit{D. Sinapova}, Arch. Math. Logic 51, No. 5--6, 553--562 (2012; Zbl 1270.03103) Full Text: DOI OpenURL
Friedman, Shoshana Accessing the switchboard via set forcing. (English) Zbl 1270.03093 Math. Log. Q. 58, No. 4-5, 303-306 (2012). MSC: 03E35 03E55 PDF BibTeX XML Cite \textit{S. Friedman}, Math. Log. Q. 58, No. 4--5, 303--306 (2012; Zbl 1270.03093) Full Text: DOI OpenURL
Apter, Arthur W. Level by level inequivalence, strong compactness, and GCH. (English) Zbl 1258.03073 Bull. Pol. Acad. Sci., Math. 60, No. 3, 201-209 (2012). MSC: 03E55 03E35 03E50 PDF BibTeX XML Cite \textit{A. W. Apter}, Bull. Pol. Acad. Sci., Math. 60, No. 3, 201--209 (2012; Zbl 1258.03073) Full Text: DOI Link OpenURL
Sinapova, Dima The tree property at \(\aleph _{\omega +1}\). (English) Zbl 1243.03066 J. Symb. Log. 77, No. 1, 279-290 (2012). Reviewer: Pierre Matet (Caen) MSC: 03E35 03E55 03E05 03E04 PDF BibTeX XML Cite \textit{D. Sinapova}, J. Symb. Log. 77, No. 1, 279--290 (2012; Zbl 1243.03066) Full Text: DOI Euclid OpenURL
Apter, Arthur W. The wholeness axioms and the class of supercompact cardinals. (English) Zbl 1258.03072 Bull. Pol. Acad. Sci., Math. 60, No. 2, 101-111 (2012). MSC: 03E55 03E35 03E65 PDF BibTeX XML Cite \textit{A. W. Apter}, Bull. Pol. Acad. Sci., Math. 60, No. 2, 101--111 (2012; Zbl 1258.03072) Full Text: DOI Link OpenURL
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 PDF BibTeX XML Cite \textit{A. W. Apter}, Math. Log. Q. 58, No. 1--2, 75--82 (2012; Zbl 1250.03091) Full Text: DOI OpenURL
Apter, Arthur W. Some applications of Sargsyan’s equiconsistency method. (English) Zbl 1258.03066 Fundam. Math. 216, No. 3, 207-222 (2012). MSC: 03E35 03E45 03E55 PDF BibTeX XML Cite \textit{A. W. Apter}, Fundam. Math. 216, No. 3, 207--222 (2012; Zbl 1258.03066) Full Text: DOI Link OpenURL
Woodin, W. Hugh Suitable extender models. II: Beyond \(\omega \)-huge. (English) Zbl 1248.03069 J. Math. Log. 11, No. 2, 115-436 (2011). Reviewer: J. M. Plotkin (East Lansing) MSC: 03E45 03E25 03E35 03E55 03E60 03E65 PDF BibTeX XML Cite \textit{W. H. Woodin}, J. Math. Log. 11, No. 2, 115--436 (2011; Zbl 1248.03069) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{A. W. Apter}, Arch. Math. Logic 50, No. 7--8, 707--712 (2011; Zbl 1250.03090) Full Text: DOI OpenURL
Viale, Matteo; Weiß, Christoph On the consistency strength of the proper forcing axiom. (English) Zbl 1251.03059 Adv. Math. 228, No. 5, 2672-2687 (2011). MSC: 03E57 03E05 03E35 03E55 PDF BibTeX XML Cite \textit{M. Viale} and \textit{C. Weiß}, Adv. Math. 228, No. 5, 2672--2687 (2011; Zbl 1251.03059) Full Text: DOI arXiv OpenURL
Magidor, Menachem; Väänänen, Jouko On Löwenheim-Skolem-Tarski numbers for extensions of first order logic. (English) Zbl 1252.03094 J. Math. Log. 11, No. 1, 87-113 (2011). MSC: 03C55 03C80 03C85 03E55 PDF BibTeX XML Cite \textit{M. Magidor} and \textit{J. Väänänen}, J. Math. Log. 11, No. 1, 87--113 (2011; Zbl 1252.03094) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{A. W. Apter} and \textit{S. Friedman}, Math. Log. Q. 57, No. 4, 366--372 (2011; Zbl 1270.03089) Full Text: DOI OpenURL
Barman, Doyel; Dow, Alan; Pichardo-Mendoza, Roberto Complete separation in the random and Cohen models. (English) Zbl 1228.54023 Topology Appl. 158, No. 14, 1795-1801 (2011). Reviewer: Haruto Ohta (Shizuoka) MSC: 54C45 03E35 03E65 PDF BibTeX XML Cite \textit{D. Barman} et al., Topology Appl. 158, No. 14, 1795--1801 (2011; Zbl 1228.54023) Full Text: DOI OpenURL
Apter, Arthur W. A remark on the tree property in a choiceless context. (English) Zbl 1221.03049 Arch. Math. Logic 50, No. 5-6, 585-590 (2011). MSC: 03E25 03E35 03E45 03E55 PDF BibTeX XML Cite \textit{A. W. Apter}, Arch. Math. Logic 50, No. 5--6, 585--590 (2011; Zbl 1221.03049) Full Text: DOI OpenURL
Apter, Arthur W. Indestructibility, HOD, and the ground axiom. (English) Zbl 1225.03066 Math. Log. Q. 57, No. 3, 261-265 (2011). MSC: 03E55 03E35 PDF BibTeX XML Cite \textit{A. W. Apter}, Math. Log. Q. 57, No. 3, 261--265 (2011; Zbl 1225.03066) Full Text: DOI OpenURL
Woodin, W. Hugh Suitable extender models. I. (English) Zbl 1247.03110 J. Math. Log. 10, No. 1-2, 101-339 (2010). Reviewer: J. M. Plotkin (East Lansing) MSC: 03E45 03E25 03E35 03E55 03E60 03E65 PDF BibTeX XML Cite \textit{W. H. Woodin}, J. Math. Log. 10, No. 1--2, 101--339 (2010; Zbl 1247.03110) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{A. W. Apter}, Arch. Math. Logic 49, No. 7--8, 725--741 (2010; Zbl 1208.03052) Full Text: DOI OpenURL
Apter, Arthur W. How many normal measures can \(\aleph_{\omega_1+1}\) carry? (English) Zbl 1192.03029 Math. Log. Q. 56, No. 2, 164-170 (2010). MSC: 03E35 03E25 03E45 03E55 PDF BibTeX XML Cite \textit{A. W. Apter}, Math. Log. Q. 56, No. 2, 164--170 (2010; Zbl 1192.03029) Full Text: DOI OpenURL
Apter, Arthur W.; Sargsyan, Grigor An equiconsistency for universal indestructibility. (English) Zbl 1184.03051 J. Symb. Log. 75, No. 1, 314-322 (2010). MSC: 03E35 03E45 03E55 PDF BibTeX XML Cite \textit{A. W. Apter} and \textit{G. Sargsyan}, J. Symb. Log. 75, No. 1, 314--322 (2010; Zbl 1184.03051) Full Text: DOI Link OpenURL
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 PDF BibTeX XML Cite \textit{A. W. Apter}, Math. Log. Q. 56, No. 1, 4--12 (2010; Zbl 1184.03050) Full Text: DOI OpenURL
Neeman, Itay Aronszajn trees and failure of the singular cardinal hypothesis. (English) Zbl 1204.03050 J. Math. Log. 9, No. 1, 139-157 (2009). MSC: 03E35 03E05 03E55 PDF BibTeX XML Cite \textit{I. Neeman}, J. Math. Log. 9, No. 1, 139--157 (2009; Zbl 1204.03050) Full Text: DOI OpenURL
Apter, Arthur W. Sandwiching the consistency strength of two global choiceless cardinal patterns. (English) Zbl 1196.03068 Bull. Pol. Acad. Sci., Math. 57, No. 3-4, 189-197 (2009). MSC: 03E55 03E25 03E35 03E45 PDF BibTeX XML Cite \textit{A. W. Apter}, Bull. Pol. Acad. Sci., Math. 57, No. 3--4, 189--197 (2009; Zbl 1196.03068) Full Text: DOI OpenURL
Feng, Qi A new characterization of supercompactness and applications. (English) Zbl 1183.03041 Ann. Pure Appl. Logic 160, No. 2, 192-213 (2009). Reviewer: K. P. Hart (Delft) MSC: 03E55 03E02 03E35 03E45 PDF BibTeX XML Cite \textit{Q. Feng}, Ann. Pure Appl. Logic 160, No. 2, 192--213 (2009; Zbl 1183.03041) Full Text: DOI OpenURL
Apter, Arthur W. Indestructibility, strong compactness, and level by level equivalence. (English) Zbl 1186.03067 Fundam. Math. 204, No. 2, 113-126 (2009). Reviewer: Tetsuya Ishiu (Oxford, Ohio) MSC: 03E55 03E35 PDF BibTeX XML Cite \textit{A. W. Apter}, Fundam. Math. 204, No. 2, 113--126 (2009; Zbl 1186.03067) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{A. W. Apter}, Math. Log. Q. 55, No. 3, 271--279 (2009; Zbl 1165.03043) Full Text: DOI OpenURL
Apter, Arthur W. Indestructibility and stationary reflection. (English) Zbl 1165.03042 Math. Log. Q. 55, No. 3, 228-236 (2009). MSC: 03E55 03E35 PDF BibTeX XML Cite \textit{A. W. Apter}, Math. Log. Q. 55, No. 3, 228--236 (2009; Zbl 1165.03042) Full Text: DOI Link OpenURL
Apter, Arthur W. Stationary reflection and level by level equivalence. (English) Zbl 1168.03037 Colloq. Math. 115, No. 1, 113-128 (2009). MSC: 03E35 03E55 PDF BibTeX XML Cite \textit{A. W. Apter}, Colloq. Math. 115, No. 1, 113--128 (2009; Zbl 1168.03037) Full Text: DOI OpenURL
Apter, Arthur W. On the number of normal measures \(\aleph_1\) and \(\aleph_2\) can carry. (English) Zbl 1158.03032 Tbil. Math. J. 1, 9-14 (2008). MSC: 03E35 03E55 PDF BibTeX XML Cite \textit{A. W. Apter}, Tbil. Math. J. 1, 9--14 (2008; Zbl 1158.03032) OpenURL
Apter, Arthur W.; Koepke, Peter Making all cardinals almost Ramsey. (English) Zbl 1153.03022 Arch. Math. Logic 47, No. 7-8, 769-783 (2008). MSC: 03E02 03E25 03E35 03E45 03E55 PDF BibTeX XML Cite \textit{A. W. Apter} and \textit{P. Koepke}, Arch. Math. Logic 47, No. 7--8, 769--783 (2008; Zbl 1153.03022) Full Text: DOI OpenURL
Sargsyan, Grigor On HOD-supercompactness. (English) Zbl 1154.03030 Arch. Math. Logic 47, No. 7-8, 765-768 (2008). MSC: 03E35 03E45 03E55 PDF BibTeX XML Cite \textit{G. Sargsyan}, Arch. Math. Logic 47, No. 7--8, 765--768 (2008; Zbl 1154.03030) Full Text: DOI OpenURL
Apter, Arthur W.; Sargsyan, Grigor Universal indestructibility for degrees of supercompactness and strongly compact cardinals. (English) Zbl 1153.03032 Arch. Math. Logic 47, No. 2, 133-142 (2008). MSC: 03E35 03E55 PDF BibTeX XML Cite \textit{A. W. Apter} and \textit{G. Sargsyan}, Arch. Math. Logic 47, No. 2, 133--142 (2008; Zbl 1153.03032) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{A. W. Apter}, Arch. Math. Logic 47, No. 2, 101--110 (2008; Zbl 1153.03031) Full Text: DOI OpenURL
Juhász, István; Soukup, Lajos; Szentmiklóssy, Zoltán Resolvability and monotone normality. (English) Zbl 1155.54006 Isr. J. Math. 166, 1-16 (2008). Reviewer: Richard G. Wilson (México) MSC: 54A25 54A35 54E99 PDF BibTeX XML Cite \textit{I. Juhász} et al., Isr. J. Math. 166, 1--16 (2008; Zbl 1155.54006) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{A. W. Apter} and \textit{J. Cummings}, Arch. Math. Logic 47, No. 1, 65--78 (2008; Zbl 1145.03031) Full Text: DOI OpenURL
Apter, Arthur W. Reducing the consistency strength of an indestructibility theorem. (English) Zbl 1140.03031 Math. Log. Q. 54, No. 3, 288-293 (2008). MSC: 03E35 03E55 PDF BibTeX XML Cite \textit{A. W. Apter}, Math. Log. Q. 54, No. 3, 288--293 (2008; Zbl 1140.03031) Full Text: DOI OpenURL
Shelah, S.; Strüngmann, L. The \(p\)-rank of \(\text{Ext}_{\mathbb Z}(G,\mathbb Z)\) in certain models of ZFC. (Russian, English) Zbl 1164.03014 Algebra Logika 46, No. 3, 369-397 (2007); translation in Algebra Logic 46, No. 3, 200-215 (2007). MSC: 03E35 03E75 20K20 20K35 PDF BibTeX XML Cite \textit{S. Shelah} and \textit{L. Strüngmann}, Algebra Logika 46, No. 3, 369--397 (2007; Zbl 1164.03014); translation in Algebra Logic 46, No. 3, 200--215 (2007) Full Text: DOI arXiv OpenURL
Apter, Arthur W. Level by level equivalence and the number of normal measures over \(P_\kappa(\lambda)\). (English) Zbl 1121.03067 Fundam. Math. 194, No. 3, 253-265 (2007). MSC: 03E35 03E55 PDF BibTeX XML Cite \textit{A. W. Apter}, Fundam. Math. 194, No. 3, 253--265 (2007; Zbl 1121.03067) Full Text: DOI OpenURL
Apter, Arthur W.; Sargsyan, Grigor A reduction in consistency strength for universal indestructibility. (English) Zbl 1121.03068 Bull. Pol. Acad. Sci., Math. 55, No. 1, 1-6 (2007). MSC: 03E35 03E55 PDF BibTeX XML Cite \textit{A. W. Apter} and \textit{G. Sargsyan}, Bull. Pol. Acad. Sci., Math. 55, No. 1, 1--6 (2007; Zbl 1121.03068) Full Text: DOI OpenURL
Apter, Arthur W. Supercompactness and level by level equivalence are compatible with indestructibility for strong compactness. (English) Zbl 1110.03038 Arch. Math. Logic 46, No. 3-4, 155-163 (2007). MSC: 03E35 03E55 PDF BibTeX XML Cite \textit{A. W. Apter}, Arch. Math. Logic 46, No. 3--4, 155--163 (2007; Zbl 1110.03038) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{A. W. Apter} et al., Proc. Am. Math. Soc. 135, No. 7, 2291--2300 (2007; Zbl 1115.03075) Full Text: DOI arXiv OpenURL
Apter, Arthur W. Supercompactness and measurable limits of strong cardinals. II: Applications to level by level equivalence. (English) Zbl 1168.03331 Math. Log. Q. 52, No. 5, 457-463 (2006). MSC: 03E55 03E35 PDF BibTeX XML Cite \textit{A. W. Apter}, Math. Log. Q. 52, No. 5, 457--463 (2006; Zbl 1168.03331) Full Text: DOI OpenURL
Apter, Arthur W. Failures of SCH and level by level equivalence. (English) Zbl 1115.03072 Arch. Math. Logic 45, No. 7, 831-838 (2006). Reviewer: Pierre Matet (Caen) MSC: 03E55 03E35 PDF BibTeX XML Cite \textit{A. W. Apter}, Arch. Math. Logic 45, No. 7, 831--838 (2006; Zbl 1115.03072) Full Text: DOI OpenURL
Ishiu, Tetsuya The saturation of club guessing ideals. (English) Zbl 1099.03040 Ann. Pure Appl. Logic 142, No. 1-3, 398-424 (2006). MSC: 03E35 03E05 03E55 03E50 PDF BibTeX XML Cite \textit{T. Ishiu}, Ann. Pure Appl. Logic 142, No. 1--3, 398--424 (2006; Zbl 1099.03040) Full Text: DOI OpenURL
Apter, Arthur W. How many normal measures can \(\aleph_{\omega+1}\) carry? (English) Zbl 1097.03045 Fundam. Math. 191, No. 1, 57-66 (2006). MSC: 03E35 03E55 PDF BibTeX XML Cite \textit{A. W. Apter}, Fundam. Math. 191, No. 1, 57--66 (2006; Zbl 1097.03045) Full Text: DOI OpenURL
Apter, Arthur W. Indestructibility and strong compactness. (English) Zbl 1102.03051 Stoltenberg-Hansen, Viggo (ed.) et al., Logic colloquium ’03. Proceedings of the annual European summer meeting of the Association for Symbolic Logic (ASL), Helsinki, Finland, August 14–20, 2003. Wellesley, MA: A K Peters; Urbana, IL: Association for Symbolic Logic (ASL) (ISBN 1-56881-293-0/hbk; 1-56881-294-9/pbk). Lecture Notes in Logic 24, 23-37 (2006). MSC: 03E35 03E55 PDF BibTeX XML Cite \textit{A. W. Apter}, Lect. Notes Log. 24, 23--37 (2006; Zbl 1102.03051) OpenURL
Apter, Arthur W. Universal indestructibility is consistent with two strongly compact cardinals. (English) Zbl 1112.03045 Bull. Pol. Acad. Sci., Math. 53, No. 2, 131-135 (2005). MSC: 03E35 03E55 PDF BibTeX XML Cite \textit{A. W. Apter}, Bull. Pol. Acad. Sci., Math. 53, No. 2, 131--135 (2005; Zbl 1112.03045) Full Text: DOI OpenURL
Gitik, Moti Around Silver’s theorem. (English) Zbl 1091.03015 Notre Dame J. Formal Logic 46, No. 3, 323-325 (2005). Reviewer: J. M. Plotkin (East Lansing) MSC: 03E04 03E35 03E55 PDF BibTeX XML Cite \textit{M. Gitik}, Notre Dame J. Formal Logic 46, No. 3, 323--325 (2005; Zbl 1091.03015) Full Text: DOI OpenURL
Krueger, John Strong compactness and stationary sets. (English) Zbl 1091.03019 J. Symb. Log. 70, No. 3, 767-777 (2005). Reviewer: Pierre Matet (Caen) MSC: 03E35 03E55 PDF BibTeX XML Cite \textit{J. Krueger}, J. Symb. Log. 70, No. 3, 767--777 (2005; Zbl 1091.03019) Full Text: DOI Link OpenURL
Apter, Arthur W. Universal partial indestructibility and strong compactness. (English) Zbl 1078.03039 Math. Log. Q. 51, No. 5, 524-531 (2005). MSC: 03E35 03E55 PDF BibTeX XML Cite \textit{A. W. Apter}, Math. Log. Q. 51, No. 5, 524--531 (2005; Zbl 1078.03039) Full Text: DOI OpenURL
Apter, Arthur W. An Easton theorem for level by level equivalence. (English) Zbl 1068.03040 Math. Log. Q. 51, No. 3, 247-253 (2005). MSC: 03E35 03E55 PDF BibTeX XML Cite \textit{A. W. Apter}, Math. Log. Q. 51, No. 3, 247--253 (2005; Zbl 1068.03040) Full Text: DOI OpenURL
Apter, Arthur W. On a problem of Foreman and Magidor. (English) Zbl 1068.03039 Arch. Math. Logic 44, No. 4, 493-498 (2005). MSC: 03E35 03E55 PDF BibTeX XML Cite \textit{A. W. Apter}, Arch. Math. Logic 44, No. 4, 493--498 (2005; Zbl 1068.03039) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{A. W. Apter}, Arch. Math. Logic 44, No. 3, 387--395 (2005; Zbl 1068.03038) Full Text: DOI OpenURL
Apter, Arthur W. Removing Laver functions from supercompactness arguments. (English) Zbl 1061.03055 Math. Log. Q. 51, No. 2, 154-156 (2005). MSC: 03E35 03E55 PDF BibTeX XML Cite \textit{A. W. Apter}, Math. Log. Q. 51, No. 2, 154--156 (2005; Zbl 1061.03055) Full Text: DOI OpenURL
Džamonja, Mirna; Komjáth, Péter; Morgan, Charles Wild edge colourings of graphs. (English) Zbl 1068.03041 J. Symb. Log. 69, No. 1, 255-264 (2004). MSC: 03E35 03E55 05C15 PDF BibTeX XML Cite \textit{M. Džamonja} et al., J. Symb. Log. 69, No. 1, 255--264 (2004; Zbl 1068.03041) Full Text: DOI OpenURL
Apter, Arthur W. Supercompactness and partial level by level equivalence between strong compactness and strongness. (English) Zbl 1052.03033 Fundam. Math. 182, No. 2, 123-136 (2004). MSC: 03E55 03E35 PDF BibTeX XML Cite \textit{A. W. Apter}, Fundam. Math. 182, No. 2, 123--136 (2004; Zbl 1052.03033) Full Text: DOI OpenURL
Shelah, Saharon Anti-homogeneous partitions of a topological space. (English) Zbl 1066.03050 Sci. Math. Jpn. 59, No. 2, 203-255 (2004). Reviewer: Alan Dow (Charlotte) MSC: 03E35 54A35 03E55 03E04 PDF BibTeX XML Cite \textit{S. Shelah}, Sci. Math. Jpn. 59, No. 2, 203--255 (2004; Zbl 1066.03050) OpenURL
Apter, Arthur W. Level by level equivalence and strong compactness. (English) Zbl 1035.03025 Math. Log. Q. 50, No. 1, 51-64 (2004). MSC: 03E35 03E55 PDF BibTeX XML Cite \textit{A. W. Apter}, Math. Log. Q. 50, No. 1, 51--64 (2004; Zbl 1035.03025) Full Text: DOI OpenURL