On Countably Paracompact Spaces
1951 ◽
Vol 3
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pp. 219-224
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Keyword(s):
Open Set
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Let X be a topological space, that is, a space with open sets such that the union of any collection of open sets is open and the intersection of any finite number of open sets is open. A covering of X is a collection of open sets whose union is X. The covering is called countable if it consists of a countable collection of open sets or finite if it consists of a finite collection of open sets ; it is called locally finite if every point of X is contained in some open set which meets only a finite number of sets of the covering. A covering is called a refinement of a covering U if every open set of X is contained in some open set of . The space X is called countably paracompact if every countable covering has a locally finite refinement.
1961 ◽
Vol 2
(2)
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pp. 147-150
Keyword(s):
2020 ◽
Vol 25
(2)
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pp. 67-77
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2019 ◽
Vol 12
(2)
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pp. 358-369
1970 ◽
Vol 22
(5)
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pp. 984-993
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1961 ◽
Vol 12
(3)
◽
pp. 149-158
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2015 ◽
Vol 7
(1)
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pp. 62-73
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