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" Simplicial methods for higher categories : "
Simona Paoli.
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BL
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| Record Number
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860654
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| Main Entry
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Paoli, Simona
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| Title & Author
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Simplicial methods for higher categories : : segal-type models of weak n-categories /\ Simona Paoli.
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| Publication Statement
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Cham :: Springer,, 2019.
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| Series Statement
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Algebra and applications
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| Page. NO
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1 online resource
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| ISBN
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3030056732
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: 3030056740
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: 3030056759
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: 9783030056735
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: 9783030056742
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: 9783030056759
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9783030056735
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| Contents
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Part I -- Higher Categories: Introduction and Background -- An Introduction to Higher Categories -- Multi-simplicial techniques -- An Introduction to the three Segal-type models -- Techniques from 2-category theory -- Part II -- The Three Segal-Type Models and Segalic Pseudo-Functors -- Homotopically discrete n-fold categories -- The Definition of the three Segal-type models -- Properties of the Segal-type models -- Pseudo-functors modelling higher structures -- Part III -- Rigidification of Weakly Globular Tamsamani n-Categories by Simpler Ones -- Rigidifying weakly globular Tamsamani n-categories -- Part IV. Weakly globular n-fold categories as a model of weak n-categories -- Functoriality of homotopically discrete objects -- Weakly Globular n-Fold Categories as a Model of Weak n-Categories -- Conclusions and further directions -- A Proof of Lemma 0.1.4 -- References -- Index.
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| Abstract
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This monograph presents a new model of mathematical structures called weak n-categories. These structures find their motivation in a wide range of fields, from algebraic topology to mathematical physics, algebraic geometry and mathematical logic.
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| Subject
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Categories (Mathematics)
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Categories (Mathematics)
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MATHEMATICS-- General.
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| Dewey Classification
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511.3
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| LC Classification
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QA169
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