عنوان

Homotopy theory of higher categories

شابک

9780521516952 (hardback)

کد کشور

IR

شماره

EN-52571

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

کشور محل نشر

IR

عنوان اصلي

Homotopy theory of higher categories

نام عام مواد

[Book]

نام نخستين پديدآور

/ Carlos Simpson

محل نشرو پخش و غیره

Cambridge ;New York

نام ناشر، پخش کننده و غيره

: Cambridge University Press,

تاریخ نشرو بخش و غیره

, 2012.

نام خاص و کميت اثر

xviii, 634 p. , ill. , 24 cm.

عنوان فروست

(New mathematical monographs

مشخصه جلد

; 19)

متن يادداشت

Electronic

متن يادداشت

Includes bibliographical references (p. [618]-629) and index.

متن يادداشت

"The study of higher categories is attracting growing interest for its many applications in topology, algebraic geometry, mathematical physics and category theory. In this highly readable book, Carlos Simpson develops a full set of homotopical algebra techniques and proposes a working theory of higher categories. Starting with a cohesive overview of the many different approaches currently used by researchers, the author proceeds with a detailed exposition of one of the most widely used techniques: the construction of a Cartesian Quillen model structure for higher categories. The fully iterative construction applies to enrichment over any Cartesian model category, and yields model categories for weakly associative n-categories and Segal n-categories. A corollary is the construction of higher functor categories which fit together to form the (n+1)-category of n-categories. The approach uses Tamsamani's definition based on Segal's ideas, iterated as in Pelissier's thesis using modern techniques due to Barwick, Bergner, Lurie and others"--Provided by publisher.

متن يادداشت

Part I. Higher Categories: 1. History and motivation; 2. Strict n-categories; 3. Fundamental elements of n-categories; 4. Operadic approaches; 5. Simplicial approaches; 6. Weak enrichment over a cartesian model category: an introduction -- Part II. Categorical Preliminaries: 7. Model categories; 8. Cell complexes in locally presentable categories; 9. Direct left Bousfield localization -- Part III. Generators and Relations: 10. Precategories; 11. Algebraic theories in model categories; 12. Weak equivalences; 13. Cofibrations; 14. Calculus of generators and relations; 15. Generators and relations for Segal categories -- Part IV. The Model Structure: 186 Sequentially free precategories; 17. Products; 18. Intervals; 19. The model category of M-enriched precategories -- Part V. Higher Category Theory: 20. Iterated higher categories; 21. Higher categorical techniques; 22. Limits of weak enriched categories; 23. Stabilization.

عنوان

New mathematical monographs

شماره جلد

19

موضوع مستند نشده

Homotopy theory

موضوع مستند نشده

Categories (Mathematics)

موضوع مستند نشده

MATHEMATICS / Topology., bisacsh

شماره رده

مستند نام اشخاص تاييد نشده

Simpson, Carlos,1962-

کشور

ایران

نام ميزبان

9780521516952.pdf

شماره دسترسي

عادی

اطلاعات مختصر

عادی

تاريخ و ساعت مذاکره و دسترسي

9780521516952.pdf

نوع فرمت الکترونيکي

متن

وضعیت فهرست نویسی

old catalog

فرمت انتشار

e

نوع ماده

BL

پیشوند ISBD اعمال شده است

1

سطح دسترسي

a

تكميل شده

Y