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Stone spaces I

Filomat
The aim of this paper is to propose a categorical definition of extremally disconnected and Stone objects (spaces) in a topological category and examine the relationship between them. Moreover, we characterize each of Tk, k = 0, 1, 2, compact, extremally
Mehmet Baran
semanticscholar   +1 more source

General Topology Topological Spaces

1987
The purpose of this chapter is to present very rapidly some of the basic, concise results in general topology – mostly without proofs. The reader interested in this topic may consult the works of N. Bourbaki, J. L. Kelley and K. Kuratowski for a detailed account.
openaire   +1 more source

\(M_ i\) topological spaces

1992
In terms of neighborhood filters with bases composed of open sets, closed sets, regular-open sets or regular-closed sets and the intersection of these filters, the authors define separation type properties \(M_ 1\), \(M_ 2\), \(M_{2.5}\), \(M_ 3\), as well as some strong or weak variations, in terms of the intersection of these filters.
LO FARO, Giovanni, Santoro G.
openaire   +2 more sources

On Topological Spaces Defined by $${\mathcal {I}}$$-Convergence

Bulletin of the Iranian Mathematical Society, 2020
Xiangeng Zhou, Li Liu, Shou Lin
semanticscholar   +1 more source

R-topological spaces and SR-topological spaces with their applications

The Mathematical Scientist, 2020
S. Khalehoghli   +2 more
semanticscholar   +1 more source

Topological Spaces

2023
Ángel Martín Pendás   +1 more
openaire   +1 more source

Topological spaces

2009
Abstract In this chapter, we make our final leap into generality: we introduce topological spaces as our ultimate framework for studying continuity. At the end of the last chapter we saw that the open sets in a metric space are the most important elements when defining continuity.
openaire   +1 more source

Stratified L-prefilter convergence structures in stratified L-topological spaces

Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2018
B. Pang, Zhenyu Xiu
semanticscholar   +1 more source

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