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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
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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

Fibrewise Near Compact and Locally Near Compact Spaces

, 2013
In this paper we define and study new concepts of fibrewise topological spaces over B namely, fibrewise near compact and fibrewise locally near compact spaces, which are generalizations of well-known concepts near compact and locally near compact ...
Yousif, Y. Y., El-monsef, M. E. Abd, Radwan, A. E. +2 more
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Points of continuity and quasicontinuity

Open Mathematics, 2010
Borsík Ján
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Quotients of peripherally continuous functions

Open Mathematics, 2011
Kosman Jolanta
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Equiconnected spaces and Baire classification of separately continuous functions and their analogs