Some results on consecutive large cardinals
type: Item
instance of: scholarly article
title: Some results on consecutive large cardinals
zbMATH Open document ID: 0548.03030
DOI: 10.1016/0168-0072(83)90051-9
author: Arthur W. Apter
published in: Annals of Pure and Applied Logic
publication date: 1983-01-01T00:00:00Z
review text: The author studies some aspects of large cardinals theory when the axiom of choice (AC) is dropped out. The main feature is the construction of two models in which AC is false but there exist sequences of consecutive large cardinals. The construction uses extensions of Bull's techniques [\textit{E. L. Bull} jun., Ann. Math. Logic 15, 161-191 (1978; Zbl 0402.03048)].
Mathematics Subject Classification ID: 03E55
zbMATH DE Number: 3873319
zbMATH Keywords: sequences of consecutive large cardinals
MaRDI profile type: Publication
full work available at URL: 0168-0072(83)90051-9
OpenAlex ID: W2063833386
cites work: Successors of singular cardinals and measurability revisited
cites work: Successive large cardinals
cites work: Powers of regular cardinals
cites work: Comparison of the axioms of local and universal choice
cites work: \(\omega_1\) can be measurable
cites work: Q3852172
cites work: Infinitary combinatorics and the axiom of determinateness
cites work: Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
cites work: Measurable cardinals and the continuum hypothesis
cites work: Q5613932
cites work: A model of set-theory in which every set of reals is Lebesgue measurable
cites work: Iterated Cohen extensions and Souslin's problem
description: scientific article; zbMATH DE number 3873319