Coherence in three-dimensional category theory [electronic resource] / Nick Gurski.

Coherence in three-dimensional category theory [electronic resource] / Nick Gurski.

9781107034891
9781107333574 (electronic book)

Cambridge : Cambridge University Press, 2013.

English

vii, 278 p. : ill.

QA169 .G87 2013

512/.55

"Dimension three is an important test-bed for hypotheses in higher category theory and occupies something of a unique position in the categorical landscape. At the heart of matters is the coherence theorem, of which this book provides a definitive treatment, as well as covering related results. Along the way the author treats such material as the Gray tensor product and gives a construction of the fundamental 3-groupoid of a space. The book serves as a comprehensive introduction, covering essential material for any student of coherence and assuming only a basic understanding of higher category theory. It is also a reference point for many key concepts in the field and therefore a vital resource for researchers wishing to apply higher categories or coherence results in fields such as algebraic topology or theoretical computer science"-- Provided by publisher.

Includes bibliographical references and index.

Access limited to authorized users.

Cambridge tracts in mathematics ; 201

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