JP Journal of Geometry and Topology
Volume 5, Issue 1, Pages 63 - 70
(March 2005)
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A NOTE ON g-METRIZABLE SPACES
Zhiming Luo (P. R. China)
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Abstract:
In this paper, we prove that a
space is g-metrizable if and only if it
is a strong compact-covering, quotient, compact
and s-image of a metric space. As an
application of the above result, we obtain that g-metrizable
spaces have point-regular weak-bases. |
| Keywords and phrases: g-metrizable spaces, À
-spaces, point-regular weak-bases, strong
compact-covering maps, compact maps, s
-maps, p -maps. |
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