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Handbook of categorical algebra. Basic category

Handbook of categorical algebra. Basic category theory. Francis Borceux

Handbook of categorical algebra. Basic category theory


Handbook.of.categorical.algebra.Basic.category.theory.pdf
ISBN: 0521441781,9780521441780 | 358 pages | 9 Mb


Download Handbook of categorical algebra. Basic category theory



Handbook of categorical algebra. Basic category theory Francis Borceux
Publisher: Cambridge University Press




Handbook of categorical algebra. Notably there is a useful combinatorial/algebraic model for strict ω-categories which, while falling short, already goes a long way towards describing general higher categorical structures. Results 1 - 10 of 12 CiteSeerX - Scientific documents that cite the following paper: Handbook of Categorical Algebra I: Basic Category Theory. Borceux, F.: Handbook of Categorical Algebra 1: Basic Category Theory. Categories are about collections of morphisms. Vol- ume 50 of Encyclopedia of Mathematics and Its Applications. Borceux: Handbook of Categorical Algebra 1: Basic Category Theory. And there are evident morphisms between functors: natural transformations. Mitchell Basic constructions, such as the fundamental group or fundamental groupoid of a .. Category theory reflects on itself. Homological algebra is category theory in its aspect of organising and suggesting manipulations in abstract algebra. In fact, by Simpson's conjecture every ω-category is Basic concepts. The basic concept on which higher category theory is built is the notion of k-morphism for all k ∈ ℕ , equipped with a notion of composition, such that coherence laws are satisfied. Functors can define (construct) categorical diagrams and sequences (viz. And there are evident morphisms between categories: functors. Category theory, a branch of abstract algebra, has found many applications Like such fields as elementary logic and set theory, category theory provides a basic conceptual Borceux: Handbook of Categorical Algebra.

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