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Almost continuity vs closure continuity

B. A. Saleemi, Naseer Shahzad, M. A. Alghamdi (2001)

Archivum Mathematicum

We provide an answer to a question: under what conditions almost continuity in the sense of Husain implies closure continuity?

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.

Characterizations of z -Lindelöf spaces

Ahmad Al-Omari, Takashi Noiri (2017)

Archivum Mathematicum

A topological space ( X , τ ) is said to be z -Lindelöf  [1] if every cover of X by cozero sets of ( X , τ ) admits a countable subcover. In this paper, we obtain new characterizations and preservation theorems of z -Lindelöf spaces.

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