Results 11 to 20 of about 199 (115)
Combinatorial characterization of supercompact cardinals [PDF]
Proceedings of the American Mathematical Society, 1974 It is proved that supercompact cardinals can be characterized by combinatorial properties which are generalizations of ineffability.
M. Magidor
openaire +3 more sources
Large cardinals and their effect on the continuum function on regular cardinals
Acta Universitatis Carolinae Philosophica et Historica, 2016 In this survey paper, we will summarise some of the more and less known results on the generalisation of the Easton theorem in the context of large cardinals. In particular, we will consider inaccessible, Mahlo, weakly compact, Ramsey, measurable, strong,
Radek Honzík
doaj +2 more sources
Epireflections and supercompact cardinals [PDF]
, 2007 We prove that, under suitable assumptions on a category C, the existence of supercompact cardinals implies that every absolute epireflective class of objects of C is a small-orthogonality class. More precisely, if L is a localization functor on an accessible category C such that the unit morphism X→LX is an extremal epimorphism for all X, and the class
Bagaria, Joan +3 more
core +4 more sources
Cardinal continuity for cohomology theories follows from supercompact cardinals
We prove that, if sufficiently large supercompact cardinals exist, then Margolis’s cardinal continuity condition holds for cohomological functors on spectra. This provides a new proof of the fact that localizations of spectra with respect to generalized cohomology theories exist, assuming the existence of a proper class of supercompact cardinals ...
Garreta Cutrina, Aran
core +4 more sources
When cardinals determine the power set: inner models and Härtig quantifier logic
Mathematical Logic Quarterly, Volume 69, Issue 4, Page 460-471, November 2023., 2023 Abstract We show that the predicate “x is the power set of y” is Σ1(Card)$\Sigma _1(\operatorname{Card})$‐definable, if V = L[E] is an extender model constructed from a coherent sequences of extenders, provided that there is no inner model with a Woodin cardinal. Here Card$\operatorname{Card}$ is a predicate true of just the infinite cardinals.
Jouko Väänänen, Philip D. Welch
wiley +1 more source
Exactly controlling the non-supercompact strongly compact cardinals [PDF]
Journal of Symbolic Logic, 2003 AbstractWe summarize the known methods of producing a non-supercompact strongly compact cardinal and describe some new variants. Our Main Theorem shows how to apply these methods to many cardinals simultaneously and exactly control which cardinals are supercompact and which are only strongly compact in a forcing extension.
Arthur W. Apter, Joel David Hamkins
openaire +4 more sources
Generically supercompact cardinals by forcing with chain conditions (Recent Developments in Set Theory of the Reals) [PDF]
, 2022 An updated and extended version of this paper with more details and proofs is downloadab as: https://fuchino.ddo.jp/papers/RIMS2021-ccc-gen-supercompact-x.pdfA ccc-generically supercompact cardinal κ, can be smaller than or equal to the continuum. On the
渕野, 昌, 酒井, 拓史
core
Ordered Porous Nanomaterials: The Merit of Small
International Scholarly Research Notices, Volume 2013, Issue 1, 2013., 2013 This paper will introduce the reader to some of the “classical” and “new” families of ordered porous materials which have arisen throughout the past decades and/or years. From what is perhaps the best‐known family of zeolites, which even now to this day is under constant research, to the exciting new family of hierarchical porous materials, the number ...
Ángel Berenguer Murcia +3 more
wiley +1 more source
Indestructibility and c(n)-supercompact cardinals [PDF]
, 2023 This thesis is split into two areas of interest. The first, a study of indestructibility results for two variants of supercompactness; the second, a discussion of double-membership graphs of models of Anti-Foundational set theory. In Chapter 3 we will
Adam-Day, Beatrice
core
Mitigation of Railway Traffic Induced Vibrations: The Influence of Barriers in Elastic Half‐Space
Advances in Acoustics and Vibration, Volume 2009, Issue 1, 2009., 2009 In this paper, the problem of vibrations induced by trains and their propagation through the soil is studied. Particular attention is focused on the vibration induced by trains in motion and on the effects of such vibrations on the foundations of buildings in proximity of the tracks. The interaction between propagating waves induced by trains in motion
Michele Buonsanti +5 more
wiley +1 more source