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ASPECTS OF GLOBULAR HIGHER CATEGORY THEORY

Part of: Special categories Homological algebra Categories and theories Categories with structure Applied homological algebra and category theory Homotopy theory Model theory General logic

Published online by Cambridge University Press:  19 May 2014

CAMELL KACHOUR
CAMELL KACHOUR*
Affiliation:
Department of Mathematics, Macquarie University, North Ryde, New South Wales 2109, Australia email camell.kachour@gmail.com
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Abstract

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Keywords

higher categoriesω-operadshigher weak ω-transformations(∞, n)-categoriesweak ∞-groupoidshomotopy types

MSC classification

Secondary: 03B15: Higher-order logic and type theory 03C85: Second- and higher-order model theory 18D05: Double categories, $2$-categories, bicategories and generalizations 18D50: Operads 18G55: Homotopical algebra 55U35: Abstract and axiomatic homotopy theory 18B40: Groupoids, semigroupoids, semigroups, groups (viewed as categories) 18C15: Triples (= standard construction, monad or triad), algebras for a triple, homology and derived functors for triples 55P15: Classification of homotopy type
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 90 , Issue 1 , August 2014 , pp. 172 - 173
Copyright
Copyright © 2014 Australian Mathematical Publishing Association Inc. 

References

Batanin, M., ‘Monoidal globular categories as a natural environment for the theory of weak-n-categories’, Adv. Math. 136 (1998), 39–103.Google Scholar
Kachour, C., ‘Operadic definition of the non-strict cells’, Cah. Topol. Géom. Différ. Catég. 4 (2011), 1–48.Google Scholar