For small categories over a fixed object set, cohomology can be computed via direction functors on S-special morphisms, matching Hoff and Golasinski cohomology in every degree.
Bourn,La tour de fibrations exactes des n-cat´ egories, Cahiers de topologie et g´ eom´ etrie diff´ erentielle cat´ egoriques, 25 (1984), 327-351
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.CT 1years
2026 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
A direction functor approach to the cohomology of small categories
For small categories over a fixed object set, cohomology can be computed via direction functors on S-special morphisms, matching Hoff and Golasinski cohomology in every degree.