Results 21 to 30 of about 116 (108)

Strongly τ-pseudocompact spaces [PDF]

Topology and its Applications, 1998
All hypothesized spaces are Tychonoff, and \(\tau\) is an infinite cardinal number. The author introduces the concept of a strongly \(\tau\)-pseudocompact space, studies its relation to initial \(\tau\)-compactness, and extends results of [\textit{J. F. Kennison}, Trans. Am. Math. Soc. 104, 436-442 (1962; Zbl 0111.35004)] and others.
openaire   +6 more sources

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
doaj   +1 more source

A note on bf-spaces and on the distribution of the functor of the Dieudonné completion

Topological Algebra and its Applications, 2021
A subset B of a space X is said to be bounded (in X) if the restriction to B of every real-valued continuous function on X is bounded. A real-valued function on X is called bf-continuous if its restriction to each bounded subset of X has a continuous ...
Sanchis Manuel, Valero Óscar
doaj   +1 more source

Spaces whose Pseudocompact Subspaces are Closed Subsets

Applied General Topology, 2004
Every first countable pseudocompact Tychonoff space X has the property that every pseudocompact subspace of X is a closed subset of X (denoted herein by “FCC”).
Alan Dow, Jack R. Porter, R.M. Stephenson, R. Grant Woods   +3 more
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Pseudocompact Primitive Topological Inverse Semigroups [PDF]

Journal of Mathematical Sciences, 2014
In the paper we study pseudocompact primitive topological inverse semigroups. We describe the structure of pseudocompact primitive topological inverse semigroups and show that a Tychonoff product of a family of pseudocompact primitive topological inverse semigroups is a pseudocompact topological space.
Gutik, Oleg, Pavlyk, Kateryna
openaire   +2 more sources

On weaker forms of compactness Lindelöfness and countable compactness

International Journal of Mathematics and Mathematical Sciences, 1990
A theory of e-countable compactness and e-Lindelöfness which are weaker than the concepts of countable compactness and Lindelöfness respectively is developed.
D. Baboolal, J. Backhouse, R. G. Ori
doaj   +1 more source

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

Free Subspaces of Free Locally Convex Spaces

Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018
If X and Y are Tychonoff spaces, let L(X) and L(Y) be the free locally convex space over X and Y, respectively. For general X and Y, the question of whether L(X) can be embedded as a topological vector subspace of L(Y) is difficult. The best results in the literature are that if L(X) can be embedded as a topological vector subspace of L(I), where I=[0 ...
Saak S. Gabriyelyan, Sidney A. Morris, Hugo Leiva   +2 more
wiley   +1 more source

Endograph Metric and a Version of the Arzelà–Ascoli Theorem for Fuzzy Sets

Mathematics, 2023
In this paper, we provide several Arzelà–Ascoli-type results on the space of all continuous functions from a Tychonoff space X into the fuzzy sets of Rn, (FUSCB(Rn),Hend), which are upper semi-continuous and have bounded support endowed with the ...
Juan J. Font, Sergio Macario, Manuel Sanchis   +2 more
doaj   +1 more source

Periodic Solutions and S‐Asymptotically Periodic Solutions to Fractional Evolution Equations

Discrete Dynamics in Nature and Society, Volume 2017, Issue 1, 2017., 2017
This paper deals with the existence and uniqueness of periodic solutions, S‐asymptotically periodic solutions, and other types of bounded solutions for some fractional evolution equations with the Weyl‐Liouville fractional derivative defined for periodic functions. Applying Fourier transform we give reasonable definitions of mild solutions.
Jia Mu, Yong Zhou, Li Peng, Can Li
wiley   +1 more source