Electronic Resource

SIMPLICIAL AND DENDROIDAL HOMOTOPY THEORY

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This open access book offers a self-contained introduction to the homotopy theory of simplicial and dendroidal sets and spaces. These are essential for the study of categories, operads, and algebraic structure up to coherent homotopy. The dendroidal theory combines the combinatorics of trees with the theory of Quillen model categories.

Dendroidal sets are a natural generalization of simplicial sets from the point of view of operads. In this book, the simplicial approach to higher category theory is generalized to a dendroidal approach to higher operad theory. This dendroidal theory of higher operads is carefully developed in this book. The book also provides an original account of the more established simplicial approach to infinity-categories, which is developed in parallel to the dendroidal theory to emphasize the similarities and differences.

Simplicial and Dendroidal Homotopy Theory is a complete introduction, carefully written with the beginning researcher in mind and ideally suited for seminars and courses. It can also be used as a standalone introduction to simplicial homotopy theory and to the theory of infinity-categories, or a standalone introduction to the theory of Quillen model categories and Bousfield localization.

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

514.24 GIJ s

Penerbit

Switzerland : Springer Cham., 2022

Deskripsi Fisik

XX, 612 p

Bahasa

English

ISBN/ISSN

9783031104473

Klasifikasi

NONE

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

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Subjek

Mathematics
Homotopy theory
Dendroidal

Info Detail Spesifik

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Pernyataan Tanggungjawab

HEUTS GIJS, MOERDIJK IEKE, AMBROSIO L., GREUEL G.M, GROMOV M., HUISKEN G., JOST J., TILLMANN U, ZAGIER D. B.,

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