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The concept of almost quasicontinuity is investgated in this paper in several directions (e.g. the relation of this concept to other generalizations of continuity is described, various types of convergence of sequences of almost quasicontinuous function are studied, a.s.o.).

On almost quasicontinuous functions

Ján Borsík (1993)

Mathematica Bohemica

A function $f : X \to Y$ is said to be almost quasicontinuous at $x \in X$ if $x \in C |I n t C| f^{- 1} (V)$ for each neighbourhood $V$ of $f (x)$ . Some properties of these functions are investigated.

On approximately semiopen maps in topological spaces.

Caldas, Miguel, Saraf, Ratnesh K. (2006)

Divulgaciones Matemáticas

On $b$ - $I$ -open sets and $b$ - $I$ -continuous functions.

Akdağ, Metin (2007)

International Journal of Mathematics and Mathematical Sciences

On barely continuous functions.

Stephens, Richard (1988)

International Journal of Mathematics and Mathematical Sciences

On bitopological ${(1, 2)}^{*}$ -semi-generalised continuous maps.

Ravi, O., Thivagar, M.Lellis (2006)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

On cliquish functions on product spaces

Lukasz A. Fudali (1983)

Mathematica Slovaca

On compositions and products of almost continuous functions

Tomasz Natkaniec (1991)

Fundamenta Mathematicae

On continuity and monotonicity of Darboux functions

Helena Pawlak (1989)

Časopis pro pěstování matematiky

On contra-precontinuous functions.

Jafari, Saeid, Noiri, Takashi (2002)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

On convergence theory in fuzzy topological spaces and its applications

Nouh, Ali Ahmed (2005)

Czechoslovak Mathematical Journal

In this paper we introduce and study new concepts of convergence and adherent points for fuzzy filters and fuzzy nets in the light of the $Q$ -relation and the $Q$ -neighborhood of fuzzy points due to Pu and Liu [28]. As applications of these concepts we give several new characterizations of the closure of fuzzy sets, fuzzy Hausdorff spaces, fuzzy continuous mappings and strong $Q$ -compactness. We show that there is a relation between the convergence of fuzzy filters and the convergence of fuzzy nets similar...

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O jednom úniku od spojitosti

On a theorem of Popa and Noiri on multifunctions

On a weak form of weak quasi-continuity.

On almost and weak forms of continuity of functions and multifunctions

On almost continuity and expansion of open sets.

On almost precontinuous functions.

On almost quasicontinuity