scholarly journals The unitary symmetric monoidal model category of small C*-categories

2012 ◽  
Vol 14 (2) ◽  
pp. 101-127 ◽  
Author(s):  
Ivo Dell’Ambrogio
Keyword(s):  
Model Category

scholarly journals Model category structures arising from Drinfeld vector bundles

2012 ◽  
Vol 231 (3-4) ◽  
pp. 1417-1438 ◽  
Author(s):  
Sergio Estrada ◽  
Pedro A. Guil Asensio ◽  
Mike Prest ◽  
Jan Trlifaj
Keyword(s):  
Vector Bundles ◽  
Model Category

scholarly journals An E2 model category structure for pointed simplicial spaces

1993 ◽  
Vol 90 (2) ◽  
pp. 137-152 ◽  
Author(s):  
W.G. Dwyer ◽  
D.M. Kan ◽  
C.R. Stover
Keyword(s):  
Category Structure ◽  
Model Category

scholarly journals On some new model category structures from old, on the same underlying category

2015 ◽  
Vol 27 (3) ◽  
Author(s):  
Alexandru E. Stanculescu
Keyword(s):  
Homotopy Theory ◽  
Existence Result ◽  
Model Category ◽  
New Model

AbstractWe make a study of ℓℓ-extensions of model category structures. We prove an existence result of ℓℓ-extensions, present some specific and some rather formal results about them and give an application of the existence result to the homotopy theory of categories enriched over a monoidal model category.

scholarly journals Higher Quasi-Categories vs Higher Rezk Spaces

2014 ◽  
Vol 14 (3) ◽  
pp. 701-749 ◽  
Author(s):  
Dimitri Ara
Keyword(s):  
Category Structure ◽  
Model Category ◽  
Segal Spaces

AbstractWe introduce a notion of n-quasi-categories as fibrant objects of a model category structure on presheaves on Joyal's n-cell category Θn. Our definition comes from an idea of Cisinski and Joyal. However, we show that this idea has to be slightly modified to get a reasonable notion. We construct two Quillen equivalences between the model category of n-quasi-categories and the model category of Rezk Θn-spaces, showing that n-quasi-categories are a model for (∞, n)-categories. For n = 1, we recover the two Quillen equivalences defined by Joyal and Tierney between quasi-categories and complete Segal spaces.

scholarly journals Model category structures and spectral sequences

2019 ◽  
Vol 150 (6) ◽  
pp. 2815-2848
Author(s):  
Joana Cirici ◽  
Daniela Egas Santander ◽  
Muriel Livernet ◽  
Sarah Whitehouse
Keyword(s):  
Spectral Sequence ◽  
Commutative Ring ◽  
Model Category ◽  
Spectral Sequences ◽  
Model Structures

AbstractLet R be a commutative ring with unit. We endow the categories of filtered complexes and of bicomplexes of R-modules, with cofibrantly generated model structures, where the class of weak equivalences is given by those morphisms inducing a quasi-isomorphism at a certain fixed stage of the associated spectral sequence. For filtered complexes, we relate the different model structures obtained, when we vary the stage of the spectral sequence, using the functors shift and décalage.

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