Selectively Pseudocompact Groups without Infinite Separable Pseudocompact Subsets

Selectively Pseudocompact Groups without Infinite Separable Pseudocompact Subsets

We give a “naive” (i.e., using no additional set-theoretic assumptions beyond ZFC, the Zermelo-Fraenkel axioms of set theory augmented by the Axiom of Choice) example of a Boolean topological group <i>G</i> without infinite separable pseudocompact subsets having the following “selective”...

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Bibliographic Details
Main Authors: Dmitri Shakhmatov, Víctor Hugo Yañez
Format: Article
Language:English
Published: MDPI AG 2018-11-01
Series:Axioms
Subjects:
pseudocompact
strongly pseudocompact
p-compact
selectively sequentially pseudocompact
pseudo-ω-bounded
non-trivial convergent sequence
separable
free precompact Boolean group
reflexive group
maximal space
ultrafilter space
Online Access:https://www.mdpi.com/2075-1680/7/4/86

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https://www.mdpi.com/2075-1680/7/4/86

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