Zobrazeno 1 - 10
of 145
pro vyhledávání: '"Arthur W. Apter"'
Autor:
ARTHUR W. APTER
Publikováno v:
The Journal of Symbolic Logic. :1-9
We show the consistency, relative to the appropriate supercompactness or strong compactness assumptions, of the existence of a non-supercompact strongly compact cardinal $\kappa _0$ (the least measurable cardinal) exhibiting properties which are impo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::618aaf4461867ebdf027cece3ab39099
https://doi.org/10.1017/jsl.2022.62
https://doi.org/10.1017/jsl.2022.62
Autor:
Arthur W. Apter
Publikováno v:
Mathematical Logic Quarterly. 68:304-309
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c3c91251a9ff792b746e8f5ecea87090
https://doi.org/10.1002/malq.202000087
https://doi.org/10.1002/malq.202000087
Autor:
Arthur W. Apter
Publikováno v:
The Journal of Symbolic Logic. 87:214-227
We prove two theorems concerning indestructibility properties of the first two strongly compact cardinals when these cardinals are in addition the first two measurable cardinals. Starting from two supercompact cardinals $\kappa _1 < \kappa _2$ , we f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::02e81f2e5ca14f19afd6a73f92454f5c
https://doi.org/10.1017/jsl.2021.94
https://doi.org/10.1017/jsl.2021.94
Autor:
Arthur W. Apter
Publikováno v:
Bollettino dell'Unione Matematica Italiana.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e963ac38f4efd646b0cac1b151199656
https://doi.org/10.1007/s40574-022-00331-x
https://doi.org/10.1007/s40574-022-00331-x
Autor:
Arthur W. Apter
Publikováno v:
Mathematical Logic Quarterly. 66:115-120
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::22cbe1a1779467084d02ef36d276a2f5
https://doi.org/10.1002/malq.201900022
https://doi.org/10.1002/malq.201900022
Autor:
Arthur W. Apter
Publikováno v:
Bulletin of the Polish Academy of Sciences Mathematics. 68:1-10
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c8d68171709caa27f84f7874b47ae24
https://doi.org/10.4064/ba180529-14-3
https://doi.org/10.4064/ba180529-14-3
Autor:
Arthur W. Apter, James Cummings
Publikováno v:
The Journal of Symbolic Logic. 84:178-204
We study the number of normal measures on a tall cardinal. Our main results are that:•The least tall cardinal may coincide with the least measurable cardinal and carry as many normal measures as desired.•The least measurable limit of tall cardina
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::907b9d8882542f0d721f55d1aeffbe17
https://doi.org/10.1017/jsl.2018.24
https://doi.org/10.1017/jsl.2018.24
Autor:
Arthur W. Apter
Publikováno v:
Tbilisi Mathematical Journal. 14
We show that assuming the consistency of certain large cardinals (namely a supercompact cardinal with a measurable cardinal above it of the appropriate Mitchell order) together with the Ultrapower Axiom UA introduced by Goldberg in [3], it is possibl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a2819e338046f445b7f7b98ec5a87f5c
https://doi.org/10.32513/tmj/1932200814
https://doi.org/10.32513/tmj/1932200814
Publikováno v:
Annals of Pure and Applied Logic. 172:103013
We study the general problem of the behaviour of the continuum function in the presence of non-supercompact strongly compact cardinals. We begin by showing that it is possible to force violations of GCH at an arbitrary strongly compact cardinal using
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c95c649e37b3f77cc36afcad47a0658b
https://doi.org/10.1016/j.apal.2021.103013
https://doi.org/10.1016/j.apal.2021.103013
Publikováno v:
Proceedings of the American Mathematical Society. 146:773-783
We exhibit models of set theory, using large cardinals and forcing, in which successor cardinals can be made singular by some “Namba-like” further set forcing, in most cases without collapsing cardinals below that successor cardinal. For successo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::708a26a9da100b11bd0309d574126661
https://doi.org/10.1090/proc/13784
https://doi.org/10.1090/proc/13784