On removing one point from a compact space

Details On removing one point from a compact space On removing one point from a compact space

Publishing date

2005-04-15

URL

arxiv.org/abs/math/0504325v1

Journals

Houston J. Math. 30 (2004), no. 4, 1115--1126

Science

Mathematics

Field

General Topology

Additional info

10 pages

Type

Scientific paper

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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