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2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeApr 30th 2011
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   Author: Urs
   Format: MarkdownItexquick stub for [[morphism of finite type]] (redirecting also [[morphism of locally finite type]])

   quick stub for morphism of finite type (redirecting also morphism of locally finite type)

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeApr 21st 2014
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   Author: zskoda
   Format: MarkdownItexThe entry [[finite type]] significantly extended. It is an algebraic notion, I do not understand its linking into homotopy theory, it is not specific to the rational homotopy theory, but the usage there is a natural extension of its standard usage in algebra. On the other hand, I did not discuss the relation to the notion of [[compact object]]. The difference between the objects of finite type and finitely presented objects in the context of abelian AB5 categories is outlined, however.

   The entry finite type significantly extended. It is an algebraic notion, I do not understand its linking into homotopy theory, it is not specific to the rational homotopy theory, but the usage there is a natural extension of its standard usage in algebra. On the other hand, I did not discuss the relation to the notion of compact object. The difference between the objects of finite type and finitely presented objects in the context of abelian AB5 categories is outlined, however.

3. • CommentRowNumber3.
   • CommentAuthorzskoda
   • CommentTimeJun 3rd 2014
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   Author: zskoda
   Format: MarkdownItexAdded a couple of references (Popescu and a MO discussion).

   Added a couple of references (Popescu and a MO discussion).