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Vietnam Journal of Mathematics 36:1(2008)
79-81
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Hausdorff First Countable ω-bounded Space is
Strongly ω-bounded
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Nuno C. Freire and
M. F. Veiga
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Abstract. In this paper we obtain an answer
to Problem 7, Ch. 8., Section 1 (p. 131) in the book Open Problems in
Topology by Jan van Mill and George M. Reed. Namely, we show that if a
Hausdorff first countable topological space is ω-bounded, then it is
strongly ω-bounded.
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2000 Mathematics Subject Classification: 54A35, 54D30,
54E65.
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Keywords: Separated, countable, bounded.
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Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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