Displaying similar documents to “Almost quasicontinuity of multivalued maps on product spaces”

On almost quasicontinuous functions

Ján Borsík (1993)

Mathematica Bohemica

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A function f : X → Y is said to be almost quasicontinuous at x ∈ X if x ∈ C I n t C f - 1 ( V ) for each neighbourhood V of f ( x ) . Some properties of these functions are investigated.

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.

Almost g ˜ α -closed functions and separation axioms

O. Ravi, S. Ganesan, R. Latha (2012)

Mathematica Bohemica

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We introduce a new class of functions called almost g ˜ α -closed and use the functions to improve several preservation theorems of normality and regularity and also their generalizations. The main result of the paper is that normality and weak normality are preserved under almost g ˜ α -closed continuous surjections.