Universal autohomeomorphisms of ℕ*-Reference-Cited by-同舟云学术

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Universal autohomeomorphisms of ℕ*

Published:2022-03-23 Issue:8 Volume:9 Page:71-74
ISSN:2330-1511
Container-title:Proceedings of the American Mathematical Society, Series B
language:en
Short-container-title:Proc. Amer. Math. Soc. Ser. B

Author:

Hart Klaas Pieter,van Mill Jan

Abstract

We study the existence of universal autohomeomorphisms of N ∗ \mathbb {N}^* . We prove that the Continuum Hypothesis ( C H \mathsf {CH} ) implies there is such an autohomeomorphism and show that there are none in any model where all autohomeomorphisms of N ∗ \mathbb {N}^* are trivial.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology,Discrete Mathematics and Combinatorics,Analysis,Algebra and Number Theory

Link

https://www.ams.org/bproc/2022-09-08/S2330-1511-2022-00106-8/S2330-1511-2022-00106-8.pdf

Reference6 articles.

1. Mathematical Centre Tracts;Baayen, P. C.,1964

2. Universal flows and automorphisms of 𝒫(𝜔)/𝒻𝒾𝓃;Brian, Will;Israel J. Math.,2019

3. The homeomorphism extension theorem for 𝛽𝜔\sbs𝜔;van Douwen, Eric K.,1993

4. An extremally disconnected Dowker space;Dow, Alan;Proc. Amer. Math. Soc.,1982

5. An introduction to 𝛽𝜔;van Mill, Jan,1984

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