ScholarLens Back to search
2002•University of Zagreb University Computing Centre (SRCE)Open access

NEW NORMALITY AXIOMS AND DECOMPOSITIONS OF NORMALITY

J. K. Kohli, Ananga Kumar Das

Open full text 25 citations

Abstract

Abstract. Generalizations of normality, called (weakly) (function-ally) -normal spaces, are introduced and studied. This leads to decompo-sitions of normality. It turns out that every paracompact space is -normal. Moreover, every Lindelof space as well as every almost compact space is weakly -normal. Preservation of -normality and its variants under map-pings is studied. This in turn strengthens several known results pertaining to normality. 1.

Open-access reader

About this research paper

What this paper is about

Abstract. Generalizations of normality, called (weakly) (function-ally) -normal spaces, are introduced and studied. This leads to decompo-sitions of normality. It turns out that every paracompact space is -normal. Moreover, every Lindelof space as well as every almost compact space is weakly -normal. Preservation of -normality and its variants under map-pings is studied. This in turn strengthens several known results pertaining to normality. 1.

Why it matters

OpenAlex reports 25 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Abstract. Generalizations of normality, called (weakly) (function-ally) -normal spaces, are introduced and studied. This leads to decompo-sitions of normality. It turns out that every paracompact space is -normal. Moreover, every Lindelof space as well as every almost compact space is weakly -normal. Preservation of -normality and its variants under map-pings is studied. This in turn strengthens several known results pertaining to normality. 1.

Key concepts: Normality, Paracompact space, Mathematics, Axiom, Space (punctuation), Local asymptotic normality, Pure mathematics, Hausdorff space

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
NEW NORMALITY AXIOMS AND DECOMPOSITIONS OF NORMALITY — Research Paper | ScholarLens