Orders of $π$-bases

Details Orders of $π$-bases Orders of $π$-bases

2007-12-30

arxiv.org/abs/0801.0170v1

Mathematics

General Topology

11 pages

Scientific paper

We extend the scope of B. Shapirovskii's results [B.E Shapirovskii, "Cardinal
invariants in Compact Hausdorff Spaces," Amer. Math. Soc. Transl. (2) Vol. 134,
1987, pp. 93-118] on the order of $\pi$-bases in compact spaces and answer some
questions of V. Tkachuk in [V.V. Tkachuk, "Point-countable pi-bases in
first-countable and similar spaces," Fund. Math. 186 (2005), pp.55-69].

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