On removing one point from a compact space

2005/04/15 by Gady Kozma
Mathematics · #math.GN #msc:54D20 #msc:54B10 #msc:54A25 #msc:54D30

paper · pdf

published as Houston J. Math. 30 (2004), no. 4, 1115--1126 · 10 pages

arxiv created 2005/04/15 · arxiv updated 2009/12/01

Abstract

If B is a compact space and B\pt is Lindelof then B^k\pt is star-Linedlof for every cardinality k. If B\pt is compact then B^k\pt is discretely star-Lindelof. In particular, this gives new examples of Tychonoff discretely star-Lindelof spaces with unlimited extent.

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