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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I would suggest starting with Hatcher’s book on algebraic topology and first 4 chapters of Maclane’s “Categories for 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.
Showing of 2 reviews. For instance, nardine a brief browse through the introductory chapters:.
No monograph or expository paper has been published on this topic in the last twenty-eight years. The book should prove enlightening to a broad range of readers including prospective students gomotopy researchers who want to apply simplicial techniques for whatever reason.
Model Categories Mathematical Surveys and Monographs. Model Categories Mark Hovey No preview available – With the development of Quillen’s concept of a closed model category and, in particular, a simplicial model category, this collection of What I’m interested in is whether any amount of algebraic topology is assumed? There is the important result establishing a Quillen equivalence between simplicial sets and topological spaces.
I know that, obviously, the main boerss is category theory and algebra. The seminar starts with looking at the basics of simplicial sets and their jardjne realization to topological spaces. Post as a guest Name. Account Options Sign in. Ships from and sold by allnewbooks. Since the beginning of the modern era of algebraic topology, simplicial methods have been used systematically and effectively for both computation and basic theory.
Write a customer review. Learn more about Amazon Giveaway. 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
Read more Read less. GoerssJohn Jardine No preview available – GoerssJohn F. Explore the Home Gift Guide. Amazon Drive Cloud hheory from Amazon.
Seminar on Simplicial Homotopy Theory (second semester 2011/2012)
Selected pages Title Page. 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.
Amazon Renewed Refurbished products with a warranty. Ships from and sold by Amazon. I know that such questions may be better suited for math. Sign up using Email and Password. Gives a well-written and concise treatment of developments in an area of topology that has seen considerable progress in the past 50 years.
Amazon Restaurants Food delivery from local restaurants. 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 tbeory to “get the point” without first understanding the more basic material. Home Questions Tags Users Unanswered. However, the reason for this is that there are concrete technical problems which they solve. Or it is a self-contained introduction to the subject using simplicial sets?
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Simplicial Homotopy Theory: Progress in Mathematics — Northwestern Scholars
Or even a part of it? It definitely can’t serve as an introduction to topology. I strongly recommend this book to students and researchers in algebraic topology. DwyerPhilip S.