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categorical pullback (Definition)

"categorical pullback" is owned by CWoo. [ full author list (3) | owner history (1) ]
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See Also: fibre product, free product with amalgamated subgroup

Other names:  pullback, pullback diagram, categorical pushout diagram, pushout diagram, amalgamated sum
Also defines:  pullback square, pushout, categorical pushout, pushout square, generalized pullback, generalized pushout, have pullbacks, have pushouts

Attachments:
attaching pullback squares (Result) by mps
properties of pullback (Result) by CWoo
examples of pullbacks (Example) by CWoo
relation between pullbacks and other categorical limits (Result) by CWoo
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Cross-references: edge, initial objects, cocone, empty set, domain, identity, indexed by, collection, squares, commutative, terminal object, limiting cone, easy to see, diagram, object, isomorphism, commutative diagram, category, morphisms
There are 37 references to this entry.

This is version 12 of categorical pullback, born on 2004-02-14, modified 2009-02-18.
Object id is 5579, canonical name is CategoricalPullback.
Accessed 15837 times total.

Classification:
AMS MSC18A30 (Category theory; homological algebra :: General theory of categories and functors :: Limits and colimits )

Pending Errata and Addenda
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