Open AccessK (π n )-Torsors and the Interpretation of “Triple” Cohomology
Author(s) -
J. Duskin
Publication year - 1974
Publication title -
proceedings of the national academy of sciences of the united states of america
Language(s) - English
Resource type - Journals
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.71.6.2554
Subject(s) - cohomology , interpretation (philosophy) , mathematics , categorical variable , pure mathematics , combinatorics , pi , computer science , geometry , programming language , statistics
A categorical, semi-simplicial interpretation theory for “triple” cohomology is outlined which uses the groups TORSU n [X ;π] of connected components of certain categories ofK (π,n )-torsors (higher dimensional generalizations of locally trivial principal fiber bundles) to interpret the cohomology groups, i.e., TORSU n [X ;π] [unk]Hn (X ;π),n ≥ 1.