Homotopie des foncteurs en groupes.
Homotopies of small categories
Homotopy classes of truncated resolutions.
Homotopy cofibrations in
Homotopy colimits and cohomology with local coefficients
Homotopy colimits in presheaf categories
Homotopy decompositions of orbit spaces and the Webb conjecture
Let p be a prime number. We prove that if G is a compact Lie group with a non-trivial p-subgroup, then the orbit space of the classifying space of the category associated to the G-poset of all non-trivial elementary abelian p-subgroups of G is contractible. This gives, for every G-CW-complex X each of whose isotropy groups contains a non-trivial p-subgroup, a decomposition of X/G as a homotopy colimit of the functor defined over the poset , where sd is the barycentric subdivision. We also...
Homotopy dimension and simple cohomological dimension of spaces.
Homotopy equivalence of isospectral graphs.
Homotopy Inverses for Nerve.
Homotopy representability of Brauer groups.
The purpose of this paper is to present certain facts and results showing a way through which simplicial homotopy theory can be used in the study of Auslander-Goldman-Brauer groups of Azumaya algebras over commutative rings.
Homotopy theory for (braided) cat-groups
Homotopy theory induced by cones.
Homotopy theory of the master equation package applied to algebra and geometry: a sketch of two interlocking programs
Using the algebraic theory of homotopies between maps of dga's we obtain a homotopy theory for algebraic structures defined by collections of multiplications and comultiplications. This is done by expressing these structures and resolved versions of them in terms of dga maps. This same homotopy theory of dga maps applies to extract invariants beyond homological periods from systems of moduli spaces that determine systems of chains that satisfy master equations like dX + X*X = 0. Minimal models of...