Results 11 to 20 of about 117 (105)

Weakly metrizable pseudocompact groups

Applied General Topology, 2006
We study various weaker versions of metrizability for pseudocompact abelian groups G: singularity (G possesses a compact metrizable subgroup of the form mG, m > 0), almost connectedness (G is metrizable modulo the connected component) and various ...
Dikran Dikranjan, Anna Giordano Bruno, Chiara Milan   +2 more
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Pseudofinite and Pseudocompact Metric Structures [PDF]

Notre Dame Journal of Formal Logic, 2015
Second version. Some typos fixed.
Goldbring, Isaac, Lopes, Vinicius Cifú
openaire   +3 more sources

Few remarks on maximal pseudocompactness

Applied General Topology, 2018
A pseudocompact space is maximal pseudocompact if every strictly finer topology is no longer pseudocompact. The main result here is a counterexample which answers a question rised by Alas, Sanchis and Wilson.
Angelo Bella
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Pseudocompactness properties [PDF]

Proceedings of the American Mathematical Society, 1976
A topological extension property is a class of Tychonoff spaces P \mathcal {P}
openaire   +2 more sources

A generalized version of the rings $C_K(X)$ and $C_\infty(X)$ - an enquery about when they become Noetherian

Applied General Topology, 2015
Suppose $F$ is a totally ordered field equipped with its order topology and $X$ a completely $F$-regular topological space. Suppose $\mathcal{P}$ is an ideal of closed sets in $X$ and $X$ is locally-$\mathcal{P}$.
Sudip Kumar Acharyya, Kshitish Chandra Chattopadhyay, Pritam Rooj   +2 more
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A pseudocompact group which is not strongly pseudocompact

Topology and its Applications, 2015
A topological space \(X\) is \textit{strongly pseudocompact} if for every sequence \((U_n)_{n\in\mathbb N}\) of pairwise disjoint non-empty open subsets of \(X\) there exists a sequence \((x_n)_{n\in\mathbb N}\) in \(X\) such that \(x_n\in U_n\) for every \(n\in\mathbb N\) and \(cl_X(\{x_n : n \in\mathbb N\})\setminus\left( \bigcup_{n\in\mathbb N}U_n ...
Garcia-Ferreira, S., Tomita, A. H.
openaire   +2 more sources

Closed subsets of compact-like topological spaces

Applied General Topology, 2020
We investigate closed subsets (subsemigroups, resp.) of compact-like topological spaces (semigroups, resp.). We show that each Hausdorff topological space is a closed subspace of some Hausdorff ω-bounded pracompact topological space and describe open ...
Serhii Bardyla, Alex Ravsky
doaj   +1 more source

A note on weakly pseudocompact locales

Applied General Topology, 2017
We revisit weak pseudocompactness in pointfree topology, and show that a locale is weakly pseudocompact if and only if it is Gδ-dense in some compactification.
Themba Dube
doaj   +1 more source

Clustering in Celebrating Professor Themba A. Dube (A TAD Celebration II) [PDF]

Categories and General Algebraic Structures with Applications
This paper is the second in the series celebrating the mathematical works of Professor Themba Dube. In this sequel, we give prominence to Dube's pivotal contributions on pointfree convergence at the unstructured frame level, in the category of locales ...
Inderasan Naidoo
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Intermediate rings of complex-valued continuous functions

Applied General Topology, 2021
For a completely regular Hausdorff topological space X, let C(X, C) be the ring of complex-valued continuous functions on X, let C ∗ (X, C) be its subring of bounded functions, and let Σ(X, C) denote the collection of all the rings that lie between C ...
Amrita Acharyya, Sudip Kumar Acharyya, Sagarmoy Bag, Joshua Sack   +3 more
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