Globular realization and cubical underlying homotopy type of time flow of process algebra.
Heaps and unpointed stable homotopy theory
In this paper, we show how certain “stability phenomena” in unpointed model categories provide the sets of homotopy classes with a canonical structure of an abelian heap, i.e. an abelian group without a choice of a zero. In contrast with the classical situation of stable (pointed) model categories, these sets can be empty.
Heller's axioms for homotopy theory
Higher homotopy groupoids and Toda brackets.
Homologie de Steenrod-Sitnikov et limite homotopique algebrique.
Homotopical interpretation of globular complex by multipointed d-space.
Homotopies of small categories
Homotopy cofibrations in
Homotopy colimits in presheaf categories
Homotopy equivalence of isospectral graphs.
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...
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.
Inverting weak dihomotopy equivalence using homotopy continuous flow.
Kann-Bedingungen und abstrakte Homotopietheorie.
La classe des morphismes de Dwyer n'est pas stable par rétractes
Lax -categories and directed homotopy