The localization theorem for finite-dimensional compact group actions


ÖZKURT A. A. , ONAT M.

TURKISH JOURNAL OF MATHEMATICS, cilt.42, ss.1556-1565, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 42 Konu: 4
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3906/mat-1609-47
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayısı: ss.1556-1565

Özet

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.