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Cross-references: exponential object, Cartesian closed category, natural numbers object, power object, well-pointed topos, subobject classifier, topos, small site on a scheme, site, resolution of a sheaf, Étalé space, stalk, presheaf of a topological basis, sheafification, sheaf, presheaf, spectral sequence, Leray spectral sequence, homology of a chain complex, chain map, chain homotopy equivalence, chain homotopy, snake lemma, 9-lemma, proof of 5-lemma, 5-lemma, projective dimension, Tor, Ext, syzygy, horseshoe lemma, delta functor, Grothendieck group, examples of algebraic K-theory groups, Algebraic K-theory, derived category, derived functor, injective object, projective object, enough injectives, enough projectives, Grothendieck spectral sequence, exact functor, exact sequence, supplemental axioms for an Abelian category, abelian category, additive category, preadditive category, nerve, group object, monoidal category, comonad, monad, algebra formed from a category, simplicial category, category of pointed topological spaces, comma category, monoid as a category, monomorphisms of category of sets, category of sets, examples of initial objects and terminal objects and zero objects, category of matrices, category associated to a partial order, arrow category, discrete category, kernel is an inverse limit, categorical direct product is an inverse limit, Yoneda Lemma, proof that an equalizer is a monomorphism, monomorphisms are pullback stable, properties of regular and extremal monomorphisms, properties of monomorphisms and epimorphisms, simplicial object, equivalent definition of a representable functor, representable functor, universal property, equivalence of categories, adjoint functor, natural equivalence, full functor, faithful functor, essentially surjective, natural transformation, multifunctor, isomorphism, identity functor, forgetful functor, endofunctor, diagonal functor, category isomorphism, autofunctor, functor, groupoid, complete category, limiting cone, direct limit, categorical pullback, categorical direct sum, categorical direct product, quotient object, subobject, equalizer, zero object, wellpowered category, types of morphisms, product of categories, preimage, locally finite category, isomorphism-closed subcategory, initial source, sink, source, extremal monomorphism, monic, epi, endomorphism, duality principle, dual category, concrete category, commutative diagram, automorphism, subcategory, alternative definition of category, category, precategory, category theory
There are 2 references to this entry.
This is version 11 of index of category theory, born on 2007-02-05, modified 2009-10-12.
Object id is 8873, canonical name is IndexOfCategoryTheory.
Accessed 2113 times total.
Classification:
| AMS MSC: | 18-01 (Category theory; homological algebra :: Instructional exposition ) |
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Pending Errata and Addenda
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