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...
-adic towers in topology.
Images directes cohomologiques dans les catégories de modèles
Ces notes sont consacrées à la construction des limites homotopiques, et plus généralement, des images directes cohomologiques dans une catégorie de modèles arbitraire admettant des petites limites projectives. En outre, la théorie des dérivateurs de Grothendieck est introduite, à la fois en tant que motivation pour l’étude de telles structures, et en tant qu’outil de démonstration.
Internal categories in a left exact cosimplicial category.
Introduction to -infinity algebras and modules.
Invariance proof of simplicial homology and cohomology groups without using subdivisions or axiomatic approach
Inverse limits and cohomology
Inverting weak dihomotopy equivalence using homotopy continuous flow.
Isomorphic cohomology Yields isomorphic homology.
Isomorphisms between left and right adjoints.
Kan fibrations in the category of simplicial spaces
Kann fibrations which are homomorphisms of simplicial groups
Kann-Bedingungen und abstrakte Homotopietheorie.
Künneth-style formula for the homology of Leibniz algebras.
La classe des morphismes de Dwyer n'est pas stable par rétractes
Lax -categories and directed homotopy