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. East Dane Designer Men’s Fashion. Learn more about Amazon Giveaway. Hilbert space The notion of a simplicial set is a powerful combinatorial tool for studying topological spaces up to weak homotopy equivalence. This is particularly important because the book unifies many seemingly disparate results and approaches.
There is the important result establishing a Quillen equivalence between simplicial sets and topological spaces. 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.
Simplicial Homotopy Theory: Progress in Mathematics 174
My theor Help Advanced Book Search. The reader is assumed to be familiar with CW-complexes and several of the major theorems about them already which will be generalized e. Buy the selected items together This item: Email Required, but never shown.
Goerrss is a seminar jointly organized by Moritz Groth and Urs Schreiber. I’m certainly not an authority on the topic, but I think for just algebraic topology i. From this we motivate fundamental notions like Kan fibration of simplicial sets, simplicial homotopy, and simplicial homotopy groups.
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Simplicial Homotopy Theory Paul G. Intended for second-year graduate students and beyond, this book introduces many of the basic tools of modern simplivial theory.
Sign up using Email and Password. Since the beginning of the modern era of algebraic topology, simplicial methods have been used systematically and effectively for both computation and basic theory.
Simplicial Homotopy Theory – Paul Gregory Goerss, J. F. Jardine – Google Books
Interspersed throughout are many results and ideas well-known to experts, but uncollected in the literature. Home Questions Tags Users Unanswered. 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? The only other general expository books in this area are more than 20 years old. Shopbop Designer Fashion Brands.
We then see that the above notions from simplicial homotopy theory are central ingredients for the model structure on simplicial sets. Sign up or log in Sign up using Google. The reader is assumed to be familiar with other important theorg Schedule of the seminar: Would any basic algebraic topology course suffice?
Model Categories Mark Hovey No preview available – In this seminar we discuss some aspects of simplicial homotopy theory. ComiXology Thousands of Digital Comics.
Simplicial Homotopy Theory
A User’s Guide to Spectral Sequences: 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. Thank you for the response! Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers.
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