Title of article
Proto-metrisable spaces are elastic
Author/Authors
Gartside، نويسنده , , P.M and Moody، نويسنده , , P.J، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 1997
Pages
14
From page
49
To page
62
Abstract
Various notions of point extendable pair-bases are introduced. We prove the following: 1.
space is proto-metrisable if and only if it has a unitary point extendable pair-base, and hence proto-metrisable spaces are elastic.
ratifiable spaces have weakly point extendable pair-bases.
e class of spaces with weakly point extendable pair-bases is closed under the scattering process, and every space with a weakly point extendable pair-base is elastic.
Keywords
Elastic , Point extendable pair-base , Proto-metrisable , Proto-metrizable , Scattering process , Stratifiable
Journal title
Topology and its Applications
Serial Year
1997
Journal title
Topology and its Applications
Record number
1579112
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