A remark on almost continuous multifunctions

Ľubica Holá

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Displaying similar documents to “A remark on almost continuous multifunctions”

On almost quasicontinuity

Anna Neubrunnová, Tibor Šalát (1992)

Mathematica Bohemica

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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.).

Almost continuous multifunctions

V. Popa (1982)

Matematički Vesnik

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Quasicontinuity and related properties of functions and multivalued maps

Janina Ewert (1995)

Mathematica Bohemica

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The main results presented in this paper concern multivalued maps. We consider the cliquishness, quasicontinuity, almost continuity and almost quasicontinuity; these properties of multivalued maps are characterized by the analogous properties of some real functions. The connections obtained are used to prove decomposition theorems for upper and lower quasicontinuity.

On compositions and products of almost continuous functions

Tomasz Natkaniec (1991)

Fundamenta Mathematicae

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On almost quasicontinuous functions

Ján Borsík (1993)

Mathematica Bohemica

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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 the Continuity of Internal Functions

Hermann Render (1993)

Publications de l'Institut Mathématique

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A theorem on almost disjoint sets

B. Rotman (1971)

Colloquium Mathematicae

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