نتایج جستجو برای: pseudocompact

تعداد نتایج: 172  

Journal: :Proceedings of the American Mathematical Society 1976

Journal: :Journal of Pure and Applied Algebra 1999

2004
r Garcia - Ferreira

Following guidance from the Organizing Committee, the authors give a brief introduction to the theory of spaces which are resolvable in the sense introduced by Hewitt (1943). The new results presented here are these. (A) A countably compact regular Hausdorff space without isolated points is w-resolvable--that is, it admits an infinite family of pairwise disjoint dense subsets. (B) Among Tychono...

2010
Horst Herrlich Kyriakos Keremedis

In ZF (i.e., Zermelo-Fraenkel set theory without the Axiom of Choice) the following statements are shown to be equivalent: (1) The axiom of dependent choice. (2) Products of compact Hausdorff spaces are Baire. (3) Products of pseudocompact spaces are Baire. (4) Products of countably compact, regular spaces are Baire. (5) Products of regular-closed spaces are Baire. (6) Products of Čech-complete...

2016
Yan-Kui Song

In this paper, we prove the following statements: (1) There exists a Tychonoff star countable discrete closed, pseudocompact space having a regular-closed subspace which is not star countable. (2) Every separable space can be embedded into an absolutely star countable discrete closed space as a closed subspace. (3) Assuming 20 = 21 , there exists a normal absolutely star countable discrete clos...

Journal: :Mathematics 2023

In this paper, we provide several Arzelà–Ascoli-type results on the space of all continuous functions from a Tychonoff X into fuzzy sets Rn, (FUSCB(Rn),Hend), which are upper semi-continuous and have bounded support endowed with endograph metric. Namely, obtain positive when is considered to be kr-space C(X,(FUSCB(Rn),Hend)) compact open topology, as well assume that pseudocompact equipped unif...

Journal: :Topology and its Applications 2022

We construct in ZFC a countably compact group without non-trivial convergent sequences of size 2c, answering question Bellini, Rodrigues and Tomita [4]. also selectively pseudocompact which is not pracompact, showing that these two properties are equivalent the class topological groups. Using same technique, we has all powers but assuming existence selective ultrafilter.

Journal: :Topology and its Applications 2016

Journal: :Czechoslovak Mathematical Journal 1960

نمودار تعداد نتایج جستجو در هر سال

با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید