We investigate cohomology and homology theories of categories with general coefficients
given by functors on simplex categories first studied by Thomason. These generalize Baues …

This paper continues the research of the author on the homology of cubical and semi-
cubical sets with coefficients in systems. The main result is the theorem that the homology of …

The article investigates the question of under what conditions a functor between small
categories preserves cohomology groups when passing to the inverse image. For example …

In this paper, we introduce and study representation homology of topological spaces, which
is a natural homological extension of representation varieties of fundamental groups. We …

Extending constructions by Gabriel and Zisman, we develop a functorial framework for the
cohomology and homology of simplicial sets with very general coefficient systems given by …

This thesis has four parts. In the first part, we introduce and study representation homology
of topological spaces, which is a higher homological extension of representation varieties of …

Аннотация Работа продолжает исследования автора по теории гомологий кубических
множеств с системами коэффициентов. Главный результат-доказана теорема о том …

Pointfree topology is an approach to general topology developed in the category Loc of
locales and localic maps ([1, 2]). In some respects, Loc is nicer than its classical counterpart …

Mathematics | Free Full-Text | Cohomology of Homotopy Colimits of Simplicial Sets and Small
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mathematics Page 1 mathematics Article Cohomology of Homotopy Colimits of Simplicial Sets
and Small Categories Antonio M. Cegarra Department Algebra, University of Granada, 18071 …