Equivariant CW-complexes and the orbit category

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Hambleton I., PAMUK S., YALÇIN E.

COMMENTARII MATHEMATICI HELVETICI, cilt.88, sa.2, ss.369-425, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 88 Sayı: 2
  • Basım Tarihi: 2013
  • Doi Numarası: 10.4171/cmh/289
  • Dergi Adı: COMMENTARII MATHEMATICI HELVETICI
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.369-425
  • Anahtar Kelimeler: Finite group actions on spheres, orbit category, chain complexes, COHOMOLOGY, REPRESENTATIONS, INDUCTION
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We give a general framework for studying G-CW complexes via the orbit category. As an application we show that the symmetric group G = S-5 admits a finite G-CW complex X homotopy equivalent to a sphere, with cyclic isotropy subgroups.