منابع مشابه
Spectral Enrichments of Model Categories
We prove that every stable, combinatorial model category can be enriched in a natural way over symmetric spectra. As a consequence of the general theory, every object in such a model category has an associated homotopy endomorphism ring spectrum. Basic properties of these invariants are established.
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We prove that any stable, additive, combinatorial model category M has a canonical model enrichment over Sp(sAb) (symmetric spectra based on simplicial abelian groups). So to any object X ∈ M one can attach an endomorphism ring object in this category, denoted hEndad(X). Since the homotopy theory of ring objects in Sp(sAb) is equivalent to the homotopy theory of differential graded algebras, on...
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Categorical rings were introduced in [JiPi07], which we call 2-rings. In these notes we present basic definitions and results regarding 2-modules. This is work in progress.
متن کاملOn the Homotopy Theory of Spectral Categories
Let Sp be the category of symmetric spectra, regarded as having the stable model structure. We prove that the category of small categories enriched over Sp admits a model category structure. The method of proof applies to other categories than symmetric spectra as well, as long as these categories are linked to the category of simplicial sets via a certain strong monoidal Quillen pair.
متن کاملModel categories
iv Contents Preface vii Chapter 1. Model categories 1 1.1. The definition of a model category 2 1.2. The homotopy category 7 1.3. Quillen functors and derived functors 13 1.3.1. Quillen functors 13 1.3.2. Derived functors and naturality 16 1.3.3. Quillen equivalences 19 1.4. 2-categories and pseudo-2-functors 22 Chapter 2. Examples 27 2.1. Cofibrantly generated model categories 28 2.1.1. Ordina...
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ژورنال
عنوان ژورنال: Homology, Homotopy and Applications
سال: 2006
ISSN: 1532-0073,1532-0081
DOI: 10.4310/hha.2006.v8.n1.a1