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Local Homotopy Theory (Springer Monographs in Mathematics) by John F. Jardine is a nonfiction available to read on EtoBox.

What is Local Homotopy Theory (Springer Monographs in Mathematics) about?

Equips the reader with the background necessary to understand recent advances in homotopy theory and algebraic geometry Written by one of the main contributors to the field Goes beyond the formalism of the theory to explain the development and applications of the main ideas and results This monograph on the homotopy theory of topologized diagrams of spaces and spectra gives an expert account of a subject at the foundation of motivic homotopy theory and the theory of topological modular forms in stable homotopy theory. Beginning with an introduction to the homotopy theory of simplicial sets and topos theory, the book covers core topics such as the unstable homotopy theory of simplicial presheaves and sheaves, localized theories, cocycles, descent theory, non-abelian cohomology, stacks, and local stable homotopy theory. A detailed treatment of the formalism of the subject is interwoven with explanations of the motivation, development, and nuances of ideas and results. The coherence of the abstract theory is elucidated through the use of widely applicable tools, such as Barr's theorem on Boolean localization, model structures on the category of simplicial presheaves on a site, and coc

Who reads Local Homotopy Theory (Springer Monographs in Mathematics)?

Author

John F. Jardine

Publisher

Springer New York : Imprint: Springer

Published

2015

Language

EN

ISBN

9781493923014

Category

nonfiction

Subjects

Mathematics, Science, Stem