Note on the projective limit on small categories
Abstract: Let X be a small category and let be the category of covariant functors on X with values in Ab. Consider the projective limit functor proj . The categories X for which proj is exact are characterized, proving a conjecture of Oberst.
Retrieve articles in Proceedings of the American Mathematical Society with MSC: 18A30
Retrieve articles in all journals with MSC: 18A30
Keywords: Category of functors, projective limit, cohomologically trivial monoid, cohomologically trivial group
Article copyright: © Copyright 1972 American Mathematical Society