Symmetrizable, -, and Weakly First Countable Spaces
1977 ◽
Vol 29
(3)
◽
pp. 480-488
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A number of results are given concerning the character and cardinality of symmetrizable and related spaces. An example is given of a symmetrizable Hausdorff space containing a point that is not a regular Gδ , and a proof is given that if a point p of a symmetrizable Hausdorff space has a neighborhood base of cardinality , then p is a Gδ . It is shown that for each cardinal number m there exists a locally compact, pseudocompact, Hausdorff -space X with |X| ≧ m. Several questions of A. V. Arhangel'skii and E. Michael are partially answered.
2006 ◽
Vol 58
(4)
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pp. 768-795
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1994 ◽
Vol 05
(02)
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pp. 201-212
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Keyword(s):
1972 ◽
Vol 24
(4)
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pp. 622-630
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Keyword(s):
1992 ◽
Vol 44
(6)
◽
pp. 1303-1316
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1996 ◽
Vol 48
(1)
◽
pp. 159-174
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Keyword(s):
1974 ◽
Vol 53
◽
pp. 127-135
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1990 ◽
Vol 33
(1)
◽
pp. 159-164
Keyword(s):
1974 ◽
Vol 26
(4)
◽
pp. 920-930
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