As the commenters already argued, I would not regard this book as a self- contained introduction. For instance, from a brief browse through the. Discussed here are the homotopy theory of simplicial sets, and other basictopics such as simplicial groups, Postnikov towers, and bisimplicial more. Homotopy theory. homotopy theory, (∞ Paul Goerss, Rick Jardine, Simplicial homotopy theory, Progress in Mathematics, Birkhäuser ().
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Customers who bought this item also bought. Besides, I know that there are a lot of people working in homotopy theory who have probably at least used the book as a reference.
Simplicial Homotopy Theory
There is the important result establishing a Quillen equivalence between simplicial sets and topological spaces. Minicourse on homotopy type theory. JDou9 I think that most basic algebraic topology texts would suffice to give a start in cover the material above e. Sign up or log in Sign up using Google.
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For example, more introductory references would discuss how each point of the realization is in the interior of exactly one n-cell, give a proof that the result is a CW-complex, etc. Ships from and sold by Amazon. With the development of Quillen’s concept of a closed model category and, in particular, a simplicial model category, this collection of methods has become the primary way to describe non-abelian homological algebra and to address homotopy-theoretical issues in a variety of fields, including algebraic K-theory.
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My library Help Advanced Book Search. The seminar starts with looking at the basics of simplicial sets and their geometric realization to topological spaces. It covers basic topics such as simplicial groups, Postnikov towers, and homotopt sets, as well as such advanced topics as homotopy limits and colimits, cosimplicial spaces, and homotopy coherence. Jardine Limited preview – The theory of model categories permits us to derive certain well-behaved functors, the so-called Quillen functors, in theorh necessarily additive contexts.
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Seminar on Simplicial Homotopy Theory (second semester 2011/2012)
Would any basic algebraic topology course suffice? GoerssJohn Jardine No preview available – Interspersed throughout are many results and ideas well-known to experts, but uncollected in the literature.
Home Questions Tags Users Unanswered. Or it is a self-contained introduction to the subject using simplicial sets? For instance, from a brief browse through the introductory chapters:. Simplicial Homotopy Theory Paul G.