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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Selected pages Title Page. I theoyr think it has any prerequisites per se, since all used notions are explained, however without familiarity with category theory and classical algebraic topology it can be too much to swallow. Showing of 2 reviews. Amazon Advertising Find, attract, and engage customers.

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The book should prove enlightening to a broad range of readers including prospective students and researchers who want to apply simplicial techniques for whatever reason. There was a problem filtering reviews right now. This is a seminar jointly organized by Moritz Groth and Urs Schreiber. Amazon Rapids Fun stories for kids on the go. This is particularly important because the book unifies many seemingly disparate results and approaches. JDou9 I think that most basic algebraic topology texts would suffice to give a start in cover the material above e.

Pages with related products. Email Required, but never shown. Ships from and sold by allnewbooks. What I’m interested in is whether any amount of algebraic topology is assumed?

Simplicial Homotopy Theory

Gives a well-written and concise treatment of developments in an area of topology that has seen considerable progress in the past 50 years. An extensive background in topology is not assumed. Discussed here are the homotopy theory of simplicial sets, and other basic topics such as simplicial groups, Postnikov towers, and bisimplicial sets. Topics to be discussed include aspects from jardune theory, homotopy type theory, and univalence.


Since the beginning of the siplicial era of algebraic topology, simplicial methods have been used systematically and effectively for both computation and basic theory. Home Questions Tags Users Unanswered. Interspersed throughout are many results and ideas well-known to experts, but uncollected in the literature.

Jardine Limited preview – I would suggest starting with Hatcher’s book sipmlicial algebraic topology and first 4 chapters of Maclane’s “Categories for Customers who bought this item also bought. There are many references for thoery respective parts of such a seminar including: Amazon Second Chance Pass it on, trade it in, give it a second life. Set up a giveaway. In the last block of talks we turn to applications in logic. No monograph or expository paper has been published on this topic in the last twenty-eight years.

simplicial homotopy theory in nLab

Smith No preview available – February 14 As an upshot of the first eight talk we can give a precise theorem showing that simplicial sets and topological spaces model the same homotopy theory. The seminar starts with looking at the basics of simplicial sets and their geometric realization to topological spaces.

This book introduces basic tools of modern homotopy theory. Read more Read less. I realize that it might be tempting to try to skip ahead to get to the more advanced material, but it can be very difficult for a student to “get the point” without first understanding the more basic material. Discover Prime Book Box for Kids.

Sign up using Email and Password. Top Reviews Most recent Top Reviews. Post Your Answer Discard By clicking “Post Jardind Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policy simplciial, and that your continued use of the website is subject to these policies.


In this seminar we discuss some aspects of simplicial homotopy theory. Model Categories Mark Hovey No preview available – Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers. By thory “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies. 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 nardine homotopy-theoretical issues in foerss variety of fields, including algebraic K-theory.

Ships from and sold by Amazon. By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. HirschhornDaniel M. After a short detour in model category theory we establish the Serre model structure on topological spaces.

It definitely can’t serve as an introduction to topology. Along the way, we also develop some basics of the theory of model categories. From this we motivate fundamental notions like Kan fibration of simplicial sets, simplicial homotopy, and simplicial homotopy groups.

ComiXology Thousands of Digital Comics. Add both to Cart Add both to List. The reader gperss assumed to be familiar with homotopy in the classical sense e.

GoerssJohn F.