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Coherence for Tricategories
Language: en
Pages: 94
Authors: Robert Gordon
Categories: Mathematics
Type: BOOK - Published: 1995 - Publisher: American Mathematical Soc.

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This work defines the concept of tricategory as the natural 3-dimensional generalization of bicategory. Trihomomorphism and triequivalence for tricategories are
Coherence in Three-Dimensional Category Theory
Language: en
Pages: 287
Authors: Nick Gurski
Categories: Mathematics
Type: BOOK - Published: 2013-03-21 - Publisher: Cambridge University Press

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Serves as an introduction to higher categories as well as a reference point for many key concepts in the field.
Higher Topos Theory (AM-170)
Language: en
Pages: 948
Authors: Jacob Lurie
Categories: Mathematics
Type: BOOK - Published: 2009-07-26 - Publisher: Princeton University Press

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In 'Higher Topos Theory', Jacob Lurie presents the foundations of this theory using the language of weak Kan complexes introduced by Boardman and Vogt, and show
Maximality Properties in Numerical Semigroups and Applications to One-Dimensional Analytically Irreducible Local Domains
Language: en
Pages: 95
Authors: Valentina Barucci
Categories: Mathematics
Type: BOOK - Published: 1997 - Publisher: American Mathematical Soc.

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In Chapter I, various (numerical) semigroup-theoretic concepts and constructions are introduced and characterized. Applications in Chapter II are made to the st
Higher Multiplicities and Almost Free Divisors and Complete Intersections
Language: en
Pages: 130
Authors: James Damon
Categories: Mathematics
Type: BOOK - Published: 1996 - Publisher: American Mathematical Soc.

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Almost free divisors and complete intersections form a general class of nonisolated hypersurface and completer intersection singularities. They also include dis