English

Orders of $\pi$-bases

General Topology 2008-01-03 v1 Logic

Abstract

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 π\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].

Keywords

Cite

@article{arxiv.0801.0170,
  title  = {Orders of $\pi$-bases},
  author = {Isaac Gorelic},
  journal= {arXiv preprint arXiv:0801.0170},
  year   = {2008}
}

Comments

11 pages

R2 v1 2026-06-21T09:58:31.177Z