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 |
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Pages (from-to) | 111-122 |
Number of pages | 12 |
Journal | Topology and its Applications |
Volume | 134 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Nov 2003 |
Keywords
- wM space
- o-semi-metrizable
- symmetric g-functions
- metrizability