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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Simplicial sets are a fundamental tool used basically everywhere in modern homotopy theory.
Simplicial Homotopy Theory: Progress in Mathematics 174
Page 1 of 1 Start over Page 1 of 1. JDou9 I think that most basic algebraic topology texts would suffice to give a start in cover the material above e.
Ships from and sold by Amazon. Amazon Drive Cloud storage from Amazon. Customers who viewed this item also viewed. Amazon Rapids Fun stories for kids on the go. Categorical models of homotopy type theory Bas Spitters References: ComiXology Thousands of Digital Comics. GoerssJohn F. The theory of model categories permits us to derive certain well-behaved functors, the so-called Quillen functors, in not necessarily additive contexts.
Interspersed throughout are many results and ideas well-known to experts, but uncollected in the literature. This book supplies a modern exposition of these ideas, emphasizing model category theoretical techniques. This is particularly important because the book unifies many seemingly disparate results and approaches. Showing of 2 reviews. With the development of Quillen’s concept of a closed model category and, in particular, a simplicial model category, this collection of Amazon Second Chance Pass it on, trade it in, give it a second life.
Add both to Cart Add both to List. It covers basic topics such as simplicial groups, Postnikov towers, and bisimplicial sets, as well as such advanced topics as homotopy limits and colimits, cosimplicial spaces, and homotopy coherence. 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. An extensive background in topology is not assumed.
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Simplicial Homotopy Theory: Progress in Mathematics — Northwestern Scholars
Can I ask you about a possible short prerequisiste book for this one? Simplicial sets have fundamental applications throughout mathematics, whenever homotopy theory plays a role. February 14 Post as a guest Name. 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. As an upshot of the first eight talk we can give a precise theorem boerss that simplicial sets and topological spaces model the same homotopy theory.
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Home Questions Tags Users Jarddine. This book introduces basic tools of modern homotopy theory. Minicourse on homotopy type theory. KanJeffrey H. What I’m interested in is whether any amount of algebraic topology is assumed? Model Categories Mark Hovey No preview available – Intended for second-year graduate students and beyond, this book introduces many of the basic tools of modern homotopy theory. From this we motivate fundamental notions like Kan fibration of simplicial sets, simplicial homotopy, and simplicial homotopy groups.
Alexa Actionable Analytics for the Web. Discussed here are the homotopy theory of simplicial sets, and goeerss basic topics such as simplicial groups, Postnikov towers, and bisimplicial sets. The reader is assumed to be familiar with homotopy jardin the classical sense e.
Share your thoughts with other customers. Thank you for the response! Would any basic algebraic topology course suffice? Explore the Home Gift Guide. Jardine Limited preview – Write a customer review. Buy the selected items together This item: Gives a well-written and concise treatment of developments in an area of topology that has seen considerable progress in the past 50 years.