JP Journal of Geometry and Topology
Volume 1, Issue 1, Pages 37 - 51
(March 2001)
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A
CHARACTERIZATION OF A CERTAIN
SUBCLASS OF
M1- SPACES
Takemi Mizokami (Japan), Norihito Shimane (Japan) and Yoshitomo Kitamura (Japan)
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Abstract:
We introduce the property (d) and characterize
M1-spaces
whose every closed subset has a closure-preserving
open neighborhood base to be M3-spaces
with
property (d). We also
introduce the concept of d
-order and showed that
M3-spaces
with
the d-order have property
(d).
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| Keywords and phrases: M3-spaces,
stratification, sequential space, property (d), d-order. |
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