# GOERSS JARDINE SIMPLICIAL HOMOTOPY THEORY PDF

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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By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. I know that such questions may be better suited for math. Besides, I know that there are a lot of people working in homotopy theory who have homtopy at least used the book as a reference.

I know that, obviously, the main prerequisite is category theory and algebra. What I’m interested in is whether any amount of algebraic topology is assumed? Or it is a self-contained introduction to the subject using simplicial sets? As the commenters already argued, I would not regard this book as a self-contained introduction.

### , e, “Simplicial Homotopy Theory” prerequisites – MathOverflow

For instance, from a brief browse through the introductory chapters:. The reader is assumed to be familiar with CW-complexes and gorrss of the major theorems about them already which will be generalized e. The reader is assumed to be familiar with homotopy in the classical sense e.

The reader is assumed to be familiar with other important tools: For example, more introductory references would discuss how each point of the realization is in simplifial interior of exactly one n-cell, give a proof that the result is a CW-complex, etc.

Simplicial sets are a fundamental tool used basically everywhere in modern homotopy theory. However, the reason for this is that there are concrete technical problems which they solve.

I realize that it might gheory 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. By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policy theofy, and that your continued use of the website is subject to these policies.

## Seminar on Simplicial Homotopy Theory (second semester 2011/2012)

Home Questions Tags Users Unanswered. I’m certainly not an authority on the topic, but I think for just algebraic topology i. I don’t 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.

I would suggest starting with Hatcher’s book on algebraic topology and first 4 chapters of Maclane’s “Categories for It definitely can’t serve as an introduction to topology.

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For instance, from a brief browse through the introductory chapters: Thank gerss for the response! Can I ask you about a possible short prerequisiste book for this one? Would any basic algebraic topology course suffice? Or even a part of it? JDou9 I think that most basic algebraic topology texts would suffice to give a start in cover the material above e.

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