Results 1 to 10 of about 3,006 (27)
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
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
Morita homotopy theory for $(\infty,1)$-categories and $\infty$-operads [PDF]
, 2019 We prove the existence of Morita model structures on the categories of small simplicial categories, simplicial sets, simplicial operads and dendroidal sets, modelling the Morita homotopy theory of $(\infty,1)$-categories and $\infty$-operads.
Caviglia, Giovanni +1 more
core +2 more sources
Simplicial presheaves of coalgebras [PDF]
, 2011 The category of simplicial R-coalgebras over a presheaf of commutative unital rings on a small Grothendieck site is endowed with a left proper, simplicial, cofibrantly generated model category structure where the weak equivalences are the local weak ...
Brown +11 more
core +1 more source
Rigidity in Equivariant Stable Homotopy Theory [PDF]
, 2014 For any finite group G, we show that the 2-local G-equivariant stable homotopy category, indexed on a complete G-universe, has a unique equivariant model in the sense of Quillen model categories.
Patchkoria, Irakli
core +3 more sources
Axiomatic homotopy theory for operads [PDF]
, 2002 We give sufficient conditions for the existence of a model structure on operads in an arbitrary symmetric monoidal model category. General invariance properties for homotopy algebras over operads are deduced.Comment: 29 pages, revised for ...
Berger, Clemens, Moerdijk, Ieke
core +5 more sources
Bounded homotopy theory and the $K$-theory of weighted complexes
, 2011 Given a bounding class $B$, we construct a bounded refinement $BK(-)$ of Quillen's $K$-theory functor from rings to spaces. $BK(-)$ is a functor from weighted rings to spaces, and is equipped with a comparison map $BK \to K$ induced by "forgetting ...
Fowler, J., Ogle, C.
core +1 more source
A model structure on the category of small categories for coverings [PDF]
, 2012 We define a new model structure on the category of small categories, which is intimately related to the notion of coverings and fundamental groups of small categories.
Tanaka, Kohei
core +2 more sources
The homotopy fixed point spectra of profinite Galois extensions
, 2009 Let E be a k-local profinite G-Galois extension of an E_infty-ring spectrum A (in the sense of Rognes). We show that E may be regarded as producing a discrete G-spectrum.
Behrens, Mark, Davis, Daniel G.
core +4 more sources
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