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Date : 2012-10-14
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Simplicial Homotopy Theory Progress in Mathematics Paul ~ Buy Simplicial Homotopy Theory Progress in Mathematics on FREE SHIPPING on qualified orders
Progress Mathematics Springer ~ a closed model category Simplicial homotopy theory and more generally the homotopy theories associated to closed model categories can then be inter preted as a purely algebraic enterprise which has had substantial applications throughout homological algebra algebraic geometry number theory and alge braic Ktheory
Simplicial Homotopy Theory SpringerLink ~ Part of the Progress in Mathematics book series PM volume 174 Log in to check access Simplicial functors and homotopy coherence Paul G Goerss John F Jardine Pages 431462 Algebraic Ktheory Algebraic topology Homological algebra Homotopy Ktheory algebra colimit homology homotopy theory Authors and affiliations Paul G
Simplicial Homotopy Theory Paul G Goerss Springer ~ Simplicial functors and homotopy coherence Pages 431462 Goerss Paul G et al
Categorical homotopy theory Emily Riehl Mathematics ~ For instance it is well known that the homotopy category of a simplicial model category is enriched over the homotopy category of spaces Following Shu09 we present a general framework that detects when derived functors and more exotic structures such as weighted homotopy colimits admit compatible enrich ments
Simplicial set Wikipedia ~ In mathematics a simplicial set is an object made up of simplices in a specific way Simplicial sets are higherdimensional generalizations of directed graphs partially ordered sets and categories Formally a simplicial set may be defined as a contravariant functor from the simplex category to the category of sets
simplicial homotopy theory in nLab ~ Simplicial homotopy theory is the study of homotopy theory by means of simplicial sets but also the study of those properties of simplicial sets detectable by means of techniques adapted from topological homotopy theory A key tool is the classical model structure on simplicial sets
Simplicial group Wikipedia ~ In mathematics more precisely in the theory of simplicial sets a simplicial group is a simplicial object in the category of groups Similarly a simplicial abelian group is a simplicial object in the category of abelian groups A simplicial group is a Kan complex in particular its homotopy groups make sense
homotopy theory in nLab ~ In generality homotopy theory is the study of mathematical contexts in which functions or rather homomorphisms are equipped with a concept of homotopy between them hence with a concept of “equivalent deformations” of morphisms and then iteratively with homotopies of homotopies between those and so forth
Hurewicz theorem Wikipedia ~ In mathematics the Hurewicz theorem is a basic result of algebraic topology connecting homotopy theory with homology theory via a map known as the Hurewicz homomorphism The theorem is named after Witold Hurewicz and generalizes earlier results of Henri Poincaré
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