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Orders of π-Bases
  Published:2010-04-06
 Printed: Jun 2010
Canadian Mathematical Bulletin
  • Isaac Gorelic,
    Government of Canada, Ottawa, ON
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Abstract

We extend the scope of B. Shapirovskii's results on the order of $\pi$-bases in compact spaces and answer some questions of V. Tkachuk.
Keywords: Shapirovskii π, -base, point-countable π, -base, free sequences, canonical form for ordinals Shapirovskii π, -base, point-countable π, -base, free sequences, canonical form for ordinals
MSC Classifications: 54A25, 03E10, 03E75, 54A35 show english descriptions Cardinality properties (cardinal functions and inequalities, discrete subsets) [See also 03Exx] {For ultrafilters, see 54D80}
Ordinal and cardinal numbers
Applications of set theory
Consistency and independence results [See also 03E35] 54A25 - Cardinality properties (cardinal functions and inequalities, discrete subsets) [See also 03Exx] {For ultrafilters, see 54D80}
03E10 - Ordinal and cardinal numbers
03E75 - Applications of set theory
54A35 - Consistency and independence results [See also 03E35]
 
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