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A Characterization of Linearly Stratifiable Spaces
Received:May 17, 2005
Revised:July 19, 2005
Key Words
:
neighborhood assignment
monotonic normality
cushioned pair-base
linearly stratifiable space.
Fund Project
:
the National Natural Science Foundation of China (10271026); the Natural Science Foundation of Shangdong Province (Y2004A03)
Author Name
Affiliation
XU Yu-ming
School of Mathematics and System Science
,
Shandong University
,
Ji'nan 250100
,
China
School of Mathematical Sciences
,
Suzhou University
,
Jiangsu 215006
,
China
JIANG Shou-li
School of Mathematics and System Science
,
Shandong University
,
Ji'nan 250100
,
China
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:
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:
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Abstract
:
By using neighborhood assignment, we prove that the linearly stratifiable space is monotonically normal, and give a new characterization of linearly stratifiable spaces in terms of monotonic normality.
Citation:
DOI
:
10.3770/j.issn:1000-341X.2007.02.018
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