The localization theorem for finite-dimensional compact group actions

ÖZKURT A. A., ONAT M.

TURKISH JOURNAL OF MATHEMATICS, cilt.42, sa.4, ss.1556-1565, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 4
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3906/mat-1609-47
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1556-1565
  • Çukurova Üniversitesi Adresli: Evet

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.