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From Categories to Homotopy Theory (Hardcover)
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From Categories to Homotopy Theory (Hardcover)
Series: Cambridge Studies in Advanced Mathematics
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Category theory provides structure for the mathematical world and
is seen everywhere in modern mathematics. With this book, the
author bridges the gap between pure category theory and its
numerous applications in homotopy theory, providing the necessary
background information to make the subject accessible to graduate
students or researchers with a background in algebraic topology and
algebra. The reader is first introduced to category theory,
starting with basic definitions and concepts before progressing to
more advanced themes. Concrete examples and exercises illustrate
the topics, ranging from colimits to constructions such as the Day
convolution product. Part II covers important applications of
category theory, giving a thorough introduction to simplicial
objects including an account of quasi-categories and Segal sets.
Diagram categories play a central role throughout the book, giving
rise to models of iterated loop spaces, and feature prominently in
functor homology and homology of small categories.
General
Imprint: |
Cambridge UniversityPress
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Country of origin: |
United Kingdom |
Series: |
Cambridge Studies in Advanced Mathematics |
Release date: |
April 2020 |
Authors: |
Birgit Richter
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Dimensions: |
235 x 156 x 26mm (L x W x T) |
Format: |
Hardcover
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Pages: |
400 |
ISBN-13: |
978-1-108-47962-2 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Topology >
Algebraic topology
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LSN: |
1-108-47962-6 |
Barcode: |
9781108479622 |
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