Symmetric g-functions

Christopher Good; D Jennings; AM Mohamad

doi:10.1016/S0166-8641(03)00102-0

Symmetric g-functions

Christopher Good
, D Jennings
, AM Mohamad

Mathematics

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

A number of generalizations of metrizability have been defined or characterized in terms of g-functions. We study symmetric g-functions which satisfy the condition that x is an element of g(n, y) iff y is an element of g(n, x). It turns out that the majority of symmetric g-functions fall into one of four known classes of space. Some metrization theorems are proved. (C) 2003 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	111-122
Number of pages	12
Journal	Topology and its Applications
Volume	134
Issue number	2
DOIs	https://doi.org/10.1016/S0166-8641(03)00102-0
Publication status	Published - 1 Nov 2003

Keywords

wM space
o-semi-metrizable
symmetric g-functions
metrizability

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10.1016/S0166-8641(03)00102-0

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AB - A number of generalizations of metrizability have been defined or characterized in terms of g-functions. We study symmetric g-functions which satisfy the condition that x is an element of g(n, y) iff y is an element of g(n, x). It turns out that the majority of symmetric g-functions fall into one of four known classes of space. Some metrization theorems are proved. (C) 2003 Elsevier B.V. All rights reserved.

KW - wM space

KW - o-semi-metrizable

KW - symmetric g-functions

KW - metrizability

UR - https://www.scopus.com/pages/publications/0141866955

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EP - 122

JO - Topology and its Applications

JF - Topology and its Applications

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ER -

Symmetric g-functions

Abstract

Keywords

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