Homotopy classification of -complexes relative an order relation

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Hegenbarth F., PAMUK M., Repovs D.

MONATSHEFTE FUR MATHEMATIK, cilt.177, sa.2, ss.275-293, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 177 Sayı: 2
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s00605-014-0716-1
  • Dergi Adı: MONATSHEFTE FUR MATHEMATIK
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.275-293
  • Anahtar Kelimeler: Minimal PD4-complex, Order relation, Symmetric L-group
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We define an order relation among oriented -complexes. We show that with respect to this relation, two -complexes over the same complex are homotopy equivalent if and only if there is an isometry between the second homology groups. We also consider minimal objects of this relation.