Realizing Unstable Injectives.
Recognition of certain classes of closed maps
Reedy categories which encode the notion of category actions
We study a certain type of action of categories on categories and on operads. Using the structure of the categories Δ and Ω governing category and operad structures, respectively, we define categories which instead encode the structure of a category acting on a category, or a category acting on an operad. We prove that the former has the structure of an elegant Reedy category, whereas the latter has the structure of a generalized Reedy category. In particular, this approach gives a new way to regard...
Refinable maps in the theory of shape
Refining thick subcategory theorems
We use a K-theory recipe of Thomason to obtain classifications of triangulated subcategories via refining some standard thick subcategory theorems. We apply this recipe to the full subcategories of finite objects in the derived categories of rings and the stable homotopy category of spectra. This gives, in the derived categories, a complete classification of the triangulated subcategories of perfect complexes over some commutative rings. In the stable homotopy category of spectra we obtain only...
Reflexive and dihedral (co)homology of a pre-additive category.
Regular Rational Homotopy Types.
Relationen für primäre Homotopieoperationen und eine verallgemeinerte EHP-Sequenz
Relative directed homotopy theory of partially ordered spaces.
Relative epimorphisms and monomorphisms in homotopy theory
Remark on ANR-divisors
Remarks on deformability
Reparametrizations of continuous paths.
Représentation des groupes d'extension. Applications
Representation Forms for Metacyclic groups.
Resolutions of spaces and proper inverse systems in shape theory
Resolutions Of Spaces Are Strong Expansions
Restoration of structure
Rétractes d'un espace
Notre but dans ce texte est de montrer le résultat suivant : Si est un C.W. complexe, simplement connexe, de type fini, avec finiment engendré comme algèbre de Lie, alors, à équivalence d’homotopie rationnelle près, il n’existe qu’un nombre fini de rétractes de . L’existence d’un nombre fini de rétractes a été obtenue par L. Renner en 1990 dans le cas où est finiment engendré en tant que -algèbre. Notre résultat élargit ainsi le cadre des espaces n’ayant, à équivalence d’homotopie rationnelle...
Retracts and homotopies for multi-maps