Results 11 to 20 of about 3,075 (93)
Codescent theory II: cofibrant approximations [PDF]
Homology, Homotopy and Applications, 2006 28 ...
Balmer, Paul, Matthey, Michel
openaire +3 more sources
Mixed Cofibration and Mixed Hurewicz Cofibration
Journal of University of Anbar for Pure Science, 2009 Abstract: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 add extra condition .
Daher Wali Freh, Abdulsattar Ali Hussien
openaire +2 more sources
Correspondences and stable homotopy theory
Transactions of the London Mathematical Society, Volume 10, Issue 1, Page 124-155, December 2023., 2023 Abstract A general method of producing correspondences and spectral categories out of symmetric ring objects in general categories is given. As an application, stable homotopy theory of spectra SH$SH$ is recovered from modules over a commutative symmetric ring spectrum defined in terms of framed correspondences over an algebraically closed field ...
Grigory Garkusha
wiley +1 more source
Lax monoidal adjunctions, two‐variable fibrations and the calculus of mates
Proceedings of the London Mathematical Society, Volume 127, Issue 4, Page 889-957, October 2023., 2023 Abstract We provide a calculus of mates for functors to the ∞$\infty$‐category of ∞$\infty$‐categories and extend Lurie's unstraightening equivalences to show that (op)lax natural transformations correspond to maps of (co)cartesian fibrations that do not necessarily preserve (co)cartesian edges. As a sample application, we obtain an equivalence between
Rune Haugseng +3 more
wiley +1 more source
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
Takayasu cofibrations revisited
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2015 This note gives a new construction of Takayasu's cofibrations.
Nguyen, Dang Ho Hai, Ndhh +1 more
openaire +3 more sources
Fibrations That are Cofibrations [PDF]
Proceedings of the American Mathematical Society, 1983 We give necessary and sufficient conditions for a homotopy cartesian square to be homotopy cocartesian. Specializing, we obtain a necessary and sufficient condition for a fibration to be a cofibration. We apply the above to localization of spaces and to acyclic maps.
openaire +2 more sources
Fibrations That are Cofibrations. II [PDF]
Proceedings of the American Mathematical Society, 1989 We show that fibrations that are cofibrations can be described quite explicitly (in terms of localization) when the total space of the fibration is nilpotent and that, in the absence of nilpotency, no such simple characterization exists.
openaire +1 more source
Equivariant cofibrations and nilpotency [PDF]
Transactions of the American Mathematical Society, 1981 Let f : B → Y f:B \to Y be a cofibration whose cofiber is a Moore space. We give necessary and sufficient conditions for f f to be induced by a map of the desuspension of the cofiber into B B . These conditions are especially simple if B B and
openaire +1 more source
Braided injections and double loop spaces [PDF]
, 2015 We consider a framework for representing double loop spaces (and more generally E-2 spaces) as commutative monoids. There are analogous commutative rectifications of braided monoidal structures and we use this framework to define iterated double ...
Schlichtkrull, Christian +1 more
core +1 more source