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Fb2 Introduction to Homotopy Theory (Fields Institute Monographs, 9) ePub

by Paul S. Selick

Category: Mathematics
Subcategory: Science books
Author: Paul S. Selick
ISBN: 0821806904
ISBN13: 978-0821806906
Language: English
Publisher: Amer Mathematical Society (July 1, 1997)
Pages: 188
Fb2 eBook: 1380 kb
ePub eBook: 1488 kb
Digital formats: lit lrf lrf txt

Introduction to Homotopy. has been added to your Cart. the author has pulled off a real tour de force.

Introduction to Homotopy. could serve as an excellent route into some of the most exciting topics in mathematics. Shows a well-marked trail to homotopy theory with plenty of beautiful scenery worth visiting, while leaving to the student the task of hiking along it. Most of us wish we had had this book when we were students. Series: Fields Institute Monographs (Book 9).

Introduction to Homotopy Theory. A co-publication of the AMS and Fields Institute. This text is based on a one-semester graduate course taught by the author at The Fields Institute in fall 1995 as part of the homotopy theory program which constituted the Institute's major program that year. The author has attempted to make this text a self-contained exposition. Precise statements and proofs are given of folk theorems which are difficult to find or do not exist in the literature.

Start by marking Introduction to Homotopy Theory (Fields Institute Monographs (Z)) as Want to Read .

Start by marking Introduction to Homotopy Theory (Fields Institute Monographs (Z)) as Want to Read: Want to Read savin. ant to Read.

The author has attempted to make this text a self-contained exposition. Precise statements and proofs are given of & theorems which are difficult to find or do not exist in the literature. Издание: перепечатанное.

Institute in the Autumn of 1995 as part of the homotopy theory program, which constituted the institute's major program that year.

Description: This text is based on a one-semester graduate course taught by the author at The Fields Institute in the Autumn of 1995 as part of the homotopy theory program, which constituted the institute's major program that year.

Discussed here are the homotopy theory of simplicial sets, and other basic topics such as simplicial groups, Postnikov towers, and bisimplicial sets. The more advanced material includes homotopy limits and colimits, localization with respect to a map and with respect to a homology theory, cosimplicial spaces, and homotopy coherence. Interspersed throughout are many results and ideas well-known to experts, but uncollected in the literature. Intended for second-year graduate students and beyond, this book introduces many of the basic tools of modern homotopy theory

Homotopy type theory is a new branch of mathematics that combines aspects of several different fields in a surprising way. It is based on a recently discovered connection between homotopy theory and type theory.

Homotopy type theory is a new branch of mathematics that combines aspects of several different fields in a surprising way. It touches on topics as seemingly distant as the homotopy groups of spheres, the algorithms for type checking, and the definition of weak ∞-groupoids. Homotopy type theory offers a new univalent foundation of mathematics, in which a central role is played by Voevodsky’s univalence axiom and higher inductive types.

Selick . Introduction to Homotopy Theory, Fields Institute Monographs, 9. American Mathematical Society, Providence . Elements of homotopy theory. Springer, Berlin, GTM series 61 (1978)Google Scholar. American Mathematical Society, Providence (1997)Google Scholar. Authors and Affiliations. J. M. García Calcines.

Paul Arnaud Songhafouo Tsopméné. The Fields Institute promotes mathematical activity in Canada and helps to expand the application of mathematics in modern society

Paul Arnaud Songhafouo Tsopméné. University of Regina. Our mission is to provide a supportive and stimulating environment for mathematics innovation and education. The Fields Institute promotes mathematical activity in Canada and helps to expand the application of mathematics in modern society. Everyone is welcome to register and participate in events at the Fields Institute.

Selick, . Introduction to homotopy theory, Fields Institute Monographs, vol. 9 (American Mathematical Society, Providence, RI, 1997). Spanier, E. Algebraic topology (McGraw-Hill, New York, Toronto, London, 1966). Theriault, . The dual polyhedral product, cocategory and nilpotence, Adv.

This text is based on a one-semester graduate course taught by the author at The Fields Institute in fall 1995 as part of the homotopy theory program which constituted the Institute's major program that year. The intent of the course was to bring graduate students who had completed a first course in algebraic topology to the point where they could understand research lectures in homotopy theory and to prepare them for the other, more specialized graduate courses being held in conjunction with the program. The notes are divided into two parts: prerequisites and the course proper.This book collects in one place the material that a researcher in algebraic topology must know. The author has attempted to make this text a self-contained exposition. Precise statements and proofs are given of "folk" theorems which are difficult to find or do not exist in the literature.
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