Results 1 to 10 of about 1,018,893 (229)

Continuous Selections and Extremally Disconnected Spaces

Mathematics, 2023
This paper deals with extremally disconnected spaces and extremally disconnected P-spaces. A space X is said to be extremally disconnected if, for every open subset V of X, the closure of V in X is also an open set.
Adolfo Pimienta, Manuel Sanchis
doaj   +3 more sources

Homogeneous subspaces of products of extremally disconnected spaces [PDF]

Topology and its Applications, 2020
Homogeneous countably compact spaces $X$ and $Y$ whose product $X\times Y$ is not pseudocompact are constructed. It is proved that all compact subsets of homogeneous subspaces of the third power of an extremally disconnected space are finite. Moreover, under CH, all compact subsets of homogeneous subspaces of any finite power of an extremally ...
Evgenii Reznichenko
semanticscholar   +6 more sources

Fuzzy Nano z-locally Closed Sets, Extremally Disconnected Spaces, Normal Spaces, and Their Application

Advances in Fuzzy Systems, 2022
In this paper, we introduce fuzzy nano (resp. δ, δS, P and Z) locally closed set and fuzzy nano (resp. δ, δS, P and Z) extremally disconnected spaces in fuzzy nano topological spaces. Also, we introduce some new spaces called fuzzy nano (resp.
R. Thangammal, M. Saraswathi, A. Vadivel, Samad Noeiaghdam, C. John Sundar, V. Govindan, Aiyared Iampan   +6 more
doaj   +2 more sources

Operation-extremally disconnected spaces

Malaya Journal of Matematik, 2019
In this paper, we have study the characterizations of submaximal spaces and extremally disconnected spaces via operation in soft topological spaces.
Jaya Bharathi B., Gomathi sundari P.
semanticscholar   +3 more sources

Compact and extremally disconnected spaces [PDF]

International Journal of Mathematics and Mathematical Sciences, 2004
Viglino defined a Hausdorff topological space to be C-compact if each closed subset of the space is an H-set in the sense of Veličko. In this paper, we study the class of Hausdorff spaces characterized by the property that each closed subset is an S-set ...
Bhamini M. P. Nayar
doaj   +3 more sources

A Note on Extremally Disconnected Spaces [PDF]

Proceedings of the American Mathematical Society, 1980
A topological space X is said to be locally S-closed if each point of X has an open neighborhood which is an S-closed subspace of X. In this note it is shown that every locally S-closed weakly Hausdorff (or almost-regular) space is extremally disconnected.
T. Noiri
openaire   +2 more sources

Extremally Disconnected Spaces and Compactifications

Journal of Advanced Studies in Topology, 2012
This paper deal with conditions on a topological space \(X\) to get its compactification \(K(X)\) an extremally disconnected space. The case of the Alexandroff compactification, \(T_0\)-compactification and Wallman compactification are studied.
Karim Belaid, Ebtesam Musaidy
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A study of extremally disconnected topological spaces [PDF]

Bulletin of Mathematical Sciences, 2011
Throughout, all spaces are assumed to be Tychonoff. A space \(X\) is \textit{extremally disconnected} (\textit{e.d.}~for short) if open subsets of \(X\) have open closures. Any discrete space is a prototypical example of an e.d.~space, though a plethora of non-discrete extremally disconnected spaces is present in mathematics. Let us just mention a fact
A. Arhangel'skii
openaire   +3 more sources

STUDY OF SUPRA SEMI EXTREMALLY DISCONNECTED SPCES

Mustansiriyah Journal of Pure and Applied Sciences
In this reѕearch we provided new concept namely SUƤRA SEMI EXTREMALLY DISCONNECTED SPCES by using semi open set via supra topological spaces, and we defend another types of sets such as supra semi closure and supra semi interior, like that we knew another supra topological spaces is called supra- semi hyper connected space shortly by SU- SH space we ...
Noran Sabeh
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Extremally Disconnected Spaces [PDF]

Proceedings of the American Mathematical Society, 1967
D. Strauss
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