Generalized Dehn-Sommerville equations and an upper bound theorem
Generalized homotopy in C-categories.
Generalized homotopy theory.
G-functors, G-posets and homotopy decompositions of G-spaces
We describe a unifying approach to a variety of homotopy decompositions of classifying spaces, mainly of finite groups. For a group G acting on a poset W and an isotropy presheaf d:W → (G) we construct a natural G-map which is a (non-equivariant) homotopy equivalence, hence is a homotopy equivalence. Different choices of G-posets and isotropy presheaves on them lead to homotopy decompositions of classifying spaces. We analyze higher limits over the categories associated to isotropy presheaves...
Global actions, groupoid atlases and applications.
Globular realization and cubical underlying homotopy type of time flow of process algebra.