The localization theorem for finite-dimensional compact group actions

ÖZKURT A. A., ONAT M.

TURKISH JOURNAL OF MATHEMATICS, vol.42, no.4, pp.1556-1565, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 4
  • Publication Date: 2018
  • Doi Number: 10.3906/mat-1609-47
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1556-1565
  • Çukurova University Affiliated: Yes

Abstract

The localization theorem is known for compact G-spaces, where G is a compact Lie group. In this study, we show that the localization theorem remains true for finite-dimensional compact group actions, and Borel's fixed point theorem holds not only for torus actions but for arbitrary finite-dimensional compact connected abelian group actions.