Results 41 to 50 of about 70 (66)

Extensions of semicontinuous and quasi-continuous functions from dense subspaces

, 2021
In this paper we give a sufficient condition for existence of an extension of a lower (upper) semicontinuous function 0 defined on a given dense subset of a topological space X to a lower (upper) semicontinuous function : X → ℝ.
Kosman, Jolanta
core  

A DECOMPOSITION OF CONTINUITY ON F*– SPACES AND MAPPINGS ON SA*– SPACES

, 2019
: An ideal topological space (X,Ï„,I) is said to be an F* – space if A=Cl*(A) forevery open set A ⊂ X. In this paper, a decomposition of continuity on F* – spaces isintroduced. An ideal topological space (X,Ï„,I) is said to be an SA* – space if (A)*⊂
ACIKGOZ, A.
core   +2 more sources

Separating sets by lower and upper semicontinuous functions with a closed graph

, 2016
In this paper we characterize the pairs (A- ;A+) of disjoint subsets of perfectly normal topological space which can be separated by a lower and an upper semicontinuous function with a closed graph.Mathematics Subject Classification (2010): 54C30, 26A15,
Kosman, Jolanta
core  

Topological spaces satisfying a closed graph theorem

International audienceWe discuss topological versions of the closed graph theorem, where continuity is inferred from near continuity in tandem with suitable conditions on source or target spaces.
Noll, Dominikus
core   +1 more source

Separating sets in bitopological spaces by P-LSC and L-USC functions

, 2019
In this paper we characterize the pairs ⟨A0,A1⟩ and ⟨A- ,A+⟩ of dis- joint subsets of bitopological space (X, P, L) which can be separated by the function f : X → R simultaneously lower semicontinuous in the topology P and upper semi-continuous in the ...
Szyszkowska, Paulina
core  

Points of continuity and quasicontinuity

Open Mathematics, 2010
Borsík Ján
doaj   +1 more source

Quotients of peripherally continuous functions

Open Mathematics, 2011
Kosman Jolanta
doaj   +1 more source

Equiconnected spaces and Baire classification of separately continuous functions and their analogs

Open Mathematics, 2012
Karlova Olena, Maslyuchenko Volodymyr, Mykhaylyuk Volodymyr   +2 more
doaj   +1 more source

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Forms weakly continuity using weak ω – open sets

Journal of Interdisciplinary Mathematics, 2021
Mustafa Hasan Hadi, Luay A Al-Swidi
exaly  

Fibrewise ω-compact and locally ω-compact spaces

Journal of Interdisciplinary Mathematics, 2021
Yousif Yaqoub Yousif
exaly