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Almost g ˜ α -closed functions and separation axioms

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

Mathematica Bohemica

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.

Averages of quasi-continuous functions

Aleksander Maliszewski (1999)

Mathematica Bohemica

The goal of this paper is to characterize the family of averages of comparable (Darboux) quasi-continuous functions.

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