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pro vyhledávání: '"Pseudocompact"'
The primary objective of this work is to construct spaces that are "pseudocompact but not countably compact," abbreviated as PNC, while endowing them with additional properties. First, motivated by an old problem of van Douwen, we construct from CH a
Externí odkaz:
http://arxiv.org/abs/2401.01631
Autor:
Reznichenko, E. A.
Generalizations of the theorems of Eberlein and Grothendieck on the precompactness of subsets of function spaces are considered: if $X$ is a countably compact space and $C_p(X)$ is a space of continuous functions in the pointwise topology convergence
Externí odkaz:
http://arxiv.org/abs/2401.11292
We show that both $\mathfrak{ap=c}$ and $\diamondsuit(\mathfrak{b})$ imply the existence of MAD families with pseudocompact Vietoris hyperspace, substantially expanding the list of models where their existence is known. We also discuss some propertie
Externí odkaz:
http://arxiv.org/abs/2309.03405
Akademický článek
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Autor:
Lin, Fucai, Wu, Qiyun
Assume that $\mathcal{P}$ is a topological property of a space $X$, then we say that $X$ is {\it dense-$\mathcal{P}$} if each dense subset of $X$ has the property $\mathcal{P}$. In this paper, we mainly discuss dense subsets of a space $X$, and we pr
Externí odkaz:
http://arxiv.org/abs/2304.03457
We show that all countable subsets of any pseudocompact quasitopological group in the form of a Korovin orbit are closed, discrete, and $C^\ast$-embedded. Consequently, any infinite pseudocompact Korovin orbit is not homeomorphic to a topological gro
Externí odkaz:
http://arxiv.org/abs/2302.11251
Autor:
Hernández Arzusa, Julio César1 jhernandeza2@unicartagena.edu.co
Publikováno v:
Proceedings of the International Geometry Center. 2023, Vol. 16 Issue 2, p116-124. 9p.