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Loop Spaces in Motivic Homotopy Theory


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  • Product Description

Loop space recognition is well understood in the context of traditional topology, however many principles for loop space characterization can be generalized to contexts besides topological spaces. Quillen introduced model categories as categories that have properties sufficient to define a homotopy theory consistent with the classical notion from topology. These categories can be understood by a class of morphisms called weak equivalences that yield isomorphism in the defined homotopy theory. When a model category possesses sufficiently rich combinatorial properties, the class of weak equivalences can be enlarged in a localization of the category. This work explores recognition principles, consistent with classical loop space recognition, in the context of model categories with localization. Analogues to the classical topological loop functors are provided in these categories with a corresponding recognition principle.

Product Specifications
SKU :COC24617
AuthorMarvin Decker
Number of Pages96
Publishing Year2012-02-03T00:00:00.000
Edition1 st
Book TypeMathematics
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-07-28 00:00:00