Homeomorphisms of Čech–Stone remainders: the zero-dimensional case-Reference-Cited by-同舟云学术

Homeomorphisms of Čech–Stone remainders: the zero-dimensional case

Published:2018-01-26 Issue:5 Volume:146 Page:2253-2262
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Farah Ilijas,McKenney Paul

Abstract

We prove, using a weakening of the Proper Forcing Axiom, that any homemomorphism between Čech–Stone remainders of any two locally compact, zero-dimensional Polish spaces is induced by a homeomorphism between their cocompact subspaces.

Funder

Natural Sciences and Engineering Research Council of Canada

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2018-146-05/S0002-9939-2018-13736-3/proc13736_AM.pdf

Reference31 articles.

1. On the consistency of some partition theorems for continuous colorings, and the structure of ℵ₁-dense real order types;Abraham, Uri;Ann. Pure Appl. Logic,1985

2. Extensions of 𝐶*-algebras and 𝐾-homology;Brown, L. G.;Ann. of Math. (2),1977

3. Automorphisms of corona algebras, and group cohomology;Coskey, Samuel;Trans. Amer. Math. Soc.,2014

4. A non-trivial copy of 𝛽ℕ\sbsℕ;Dow, Alan;Proc. Amer. Math. Soc.,2014

5. 𝜔* has (almost) no continuous images;Dow, Alan;Israel J. Math.,1999

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Non-trivial copies of N⁎;Topology and its Applications;2024-10

2. Between reduced powers and ultrapowers, II.;Transactions of the American Mathematical Society;2022-09-29

3. Rigidity conjectures for continuous quotients;Annales scientifiques de l'École Normale Supérieure;2022

4. AN INVITATION TO MODEL THEORY AND C*-ALGEBRAS;The Bulletin of Symbolic Logic;2019-03