Topological groups and covering dimension

Liljana Babinkostova

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We consider a natural way of extending the Lebesgue covering dimension to various classes of infinite dimensional topological groups. The dimension function that we introduce extends Lebesgue covering dimension, has the hereditary property, and has a product theory that is more similar to the product theory for the finite dimensional case.

Original languageEnglish
Pages (from-to)1460-1470
Number of pages11
JournalTopology and its Applications
Volume158
Issue number12
DOIs
StatePublished - 1 Aug 2011

Keywords

  • Countable dimensional
  • Game dimension
  • Infinite game
  • Selection principle

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