Results 1 to 10 of about 3,346 (68)
Mixed Cofibration and Mixed Hurewicz Cofibration [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2009 :In this papers we study a new concept namely Mixed cofibration (M- cofibration) and Mixed Hurewicz cofibration (M- Hurewicz cofibration).Most of theorem which are valid for cofibrationwill bealso valid for (M- cofibration) the others will be valid if we
Daher Wali Freh, Abdulsattar Ali Hussien
doaj +2 more sources
On the Left Properness of the Model Category of Permutative Categories
Axioms, 2023 In this paper, we introduce a notion of free cofibrations of permutative categories. We show that each cofibration of permutative categories is a retract of a free cofibration.
Amit Sharma
doaj +1 more source
Topological triangulated categories [PDF]
, 2012 In this paper we explain certain systematic differences between algebraic and topological triangulated categories. A triangulated category is algebraic if it admits a differential graded model, and topological if it admits a model in the form of a stable
Schwede, Stefan
core +2 more sources
Codescent theory II: cofibrant approximations [PDF]
Homology, Homotopy and Applications, 2006 28 ...
Balmer, Paul, Matthey, Michel
openaire +3 more sources
On an extension of the notion of Reedy category [PDF]
, 2008 We extend the classical notion of a Reedy category so as to allow non-trivial automorphisms. Our extension includes many important examples occuring in topology such as Segal's category Gamma, or the total category of a crossed simplicial group such as ...
Clemens Berger +3 more
core +6 more sources
Induced fibrations and cofibrations [PDF]
Transactions of the American Mathematical Society, 1967 Introduction. It is well known that any map is homotopically equivalent to a fiber map, i.e., to the projection of the total space on the base in a fibration. Simple examples, however, reveal that there are maps which fail to be homotopically equivalent to any inclusion of a fiber in the total space, and the problem of characterizing the maps which are
openaire +2 more sources
On Relative Homotopy Groups of Modules
International Journal of Mathematics and Mathematical Sciences, 2007 In his book “Homotopy Theory and Duality,” Peter Hilton described the concepts of relative homotopy theory in module theory. We study in this paper the possibility of parallel concepts of fibration and cofibration in module theory, analogous to the ...
C. Joanna Su
doaj +1 more source
The univalence axiom for elegant Reedy presheaves [PDF]
, 2015 We show that Voevodsky's univalence axiom for intensional type theory is valid in categories of simplicial presheaves on elegant Reedy categories. In addition to diagrams on inverse categories, as considered in previous work of the author, this includes ...
Shulman, Michael
core +1 more source
A uniqueness theorem for stable homotopy theory [PDF]
, 1999 In this paper we study the global structure of the stable homotopy theory of spectra. We establish criteria for when the homotopy theory associated to a given stable model category agrees with the classical stable homotopy theory of spectra.
Schwede, Stefan, Shipley, Brooke
core +3 more sources
Deformations of algebraic schemes via Reedy-Palamodov cofibrant resolutions [PDF]
, 2019 Let $X$ be a Noetherian separated and finite dimensional scheme over a field $\mathbb{K}$ of characteristic zero. The goal of this paper is to study deformations of $X$ over a differential graded local Artin $\mathbb{K}$-algebra by using local Tate ...
Manetti, Marco, Meazzini, Francesco
core +3 more sources