On the equivariant cohomology algebra for solenoidal actions

Ozkurt A. A.

TURKISH JOURNAL OF MATHEMATICS, cilt.38, sa.6, ss.1081-1089, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 6
  • Basım Tarihi: 2014
  • Doi Numarası: 10.3906/mat-1310-6
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1081-1089
  • Çukurova Üniversitesi Adresli: Evet

Özet

We prove, under certain conditions, that if a solenoidal group (i.e. 1-dimensional compact connected abelian group) acts effectively on a compact space then the fixed point set is nonempty and H-G*(X,Q) has a presentation similar to the presentation of H*(X,Q) as proven by Chang in the case of a circle group.