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On almost quasicontinuous functions

Ján Borsík (1993)

Mathematica Bohemica

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.

On an affirmative answer to Y. Tanaka's and Y. Ge's problem

Luong Quoc Tuyen (2017)

Commentationes Mathematicae Universitatis Carolinae

In this paper, we give an affirmative answer to the problem posed by Y. Tanaka and Y. Ge (2006) in "Around quotient compact images of metric spaces, and symmetric spaces", Houston J. Math. 32 (2006) no. 1, 99-117.

On binary coproducts of frames

Xiangdong Chen (1992)

Commentationes Mathematicae Universitatis Carolinae

The structure of binary coproducts in the category of frames is analyzed, and the results are then applied widely in the study of compactness, local compactness (continuous frames), separatedness, pushouts and closed frame homomorphisms.

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