Automatic continuity of group operations

S. Solecki, S. M. Srivastava

Research output: Contribution to journalArticlepeer-review

Abstract

We prove that if (G, ·) is a group with a metric, separable, and Baire topology τ such that h → g · h is continuous for all g ε G and g → g · h is Baire measurable for all h ε G, then (G, T) is a topological group. Several consequences of this result concerning free actions of standard Borel groups are established.

Original languageEnglish (US)
Pages (from-to)65-75
Number of pages11
JournalTopology and its Applications
Volume77
Issue number1
DOIs
StatePublished - 1997

Keywords

  • Automatic continuity
  • Baire measurable function
  • Polish group
  • Semitopological group

ASJC Scopus subject areas

  • Geometry and Topology

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