Freeness conditions for crossed squares and squared complexes

MUTLU A., Porter T.

K-Theory, cilt.20, sa.4, ss.345-368, 2000 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 4
  • Basım Tarihi: 2000
  • Doi Numarası: 10.1023/a:1026535602325
  • Dergi Adı: K-Theory
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.345-368
  • Anahtar Kelimeler: crossed square, squared complex, free simplicial group
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

Following Ellis, we investigate the notion of totally free crossed square and related squared complexes. It is shown how to interpret the information in a free simplicial group given with a choice of CW-basis, in terms of the data for a totally free crossed square. Results of Ellis then apply to give a description in terms of tensor products of crossed modules. The paper ends with a purely algebraic derivation of a result of Brown and Loday.