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- Nerve_(category_theory) abstract "In category theory, a discipline within mathematics, the nerve N(C) of a small category C is a simplicial set constructed from the objects and morphisms of C. The geometric realization of this simplicial set is a topological space, called the classifying space of the category C. These closely related objects can provide information about some familiar and useful categories using algebraic topology, most often homotopy theory.".
- Nerve_(category_theory) thumbnail Nerve-2-simplex.png?width=300.
- Nerve_(category_theory) wikiPageExternalLink sum.pdf.
- Nerve_(category_theory) wikiPageID "5127933".
- Nerve_(category_theory) wikiPageLength "9055".
- Nerve_(category_theory) wikiPageOutDegree "25".
- Nerve_(category_theory) wikiPageRevisionID "596815566".
- Nerve_(category_theory) wikiPageWikiLink Adjoint_functor.
- Nerve_(category_theory) wikiPageWikiLink Adjoint_functors.
- Nerve_(category_theory) wikiPageWikiLink Algebraic_topology.
- Nerve_(category_theory) wikiPageWikiLink Barycentric_subdivision.
- Nerve_(category_theory) wikiPageWikiLink CW_complex.
- Nerve_(category_theory) wikiPageWikiLink Category:Category_theory.
- Nerve_(category_theory) wikiPageWikiLink Category:Simplicial_sets.
- Nerve_(category_theory) wikiPageWikiLink Category_(mathematics).
- Nerve_(category_theory) wikiPageWikiLink Category_theory.
- Nerve_(category_theory) wikiPageWikiLink Classifying_space.
- Nerve_(category_theory) wikiPageWikiLink File:Mappings-as-moduli.png.
- Nerve_(category_theory) wikiPageWikiLink File:Nerve-2-simplex.png.
- Nerve_(category_theory) wikiPageWikiLink Final_object.
- Nerve_(category_theory) wikiPageWikiLink Functor.
- Nerve_(category_theory) wikiPageWikiLink Functors.
- Nerve_(category_theory) wikiPageWikiLink Geometric_realization.
- Nerve_(category_theory) wikiPageWikiLink Higher_category_theory.
- Nerve_(category_theory) wikiPageWikiLink Homotopy.
- Nerve_(category_theory) wikiPageWikiLink Homotopy_equivalence.
- Nerve_(category_theory) wikiPageWikiLink Homotopy_theory.
- Nerve_(category_theory) wikiPageWikiLink Initial_and_terminal_objects.
- Nerve_(category_theory) wikiPageWikiLink Initial_object.
- Nerve_(category_theory) wikiPageWikiLink Model_category.
- Nerve_(category_theory) wikiPageWikiLink Moduli_space.
- Nerve_(category_theory) wikiPageWikiLink Nerve_of_a_covering.
- Nerve_(category_theory) wikiPageWikiLink Nerve_of_an_open_covering.
- Nerve_(category_theory) wikiPageWikiLink Real_projective_space.
- Nerve_(category_theory) wikiPageWikiLink Simplicial_set.
- Nerve_(category_theory) wikiPageWikiLink Small_category.
- Nerve_(category_theory) wikiPageWikiLink Topological_space.
- Nerve_(category_theory) wikiPageWikiLinkText "Nerve (category theory)".
- Nerve_(category_theory) wikiPageWikiLinkText "nerve (category theory)".
- Nerve_(category_theory) wikiPageWikiLinkText "nerve".
- Nerve_(category_theory) wikiPageWikiLinkText "simplicial nerve".
- Nerve_(category_theory) hasPhotoCollection Nerve_(category_theory).
- Nerve_(category_theory) id "nerve".
- Nerve_(category_theory) title "Nerve".
- Nerve_(category_theory) wikiPageUsesTemplate Template:Main.
- Nerve_(category_theory) wikiPageUsesTemplate Template:Nlab.
- Nerve_(category_theory) wikiPageUsesTemplate Template:Reflist.
- Nerve_(category_theory) subject Category:Category_theory.
- Nerve_(category_theory) subject Category:Simplicial_sets.
- Nerve_(category_theory) hypernym Simplicial.
- Nerve_(category_theory) comment "In category theory, a discipline within mathematics, the nerve N(C) of a small category C is a simplicial set constructed from the objects and morphisms of C. The geometric realization of this simplicial set is a topological space, called the classifying space of the category C. These closely related objects can provide information about some familiar and useful categories using algebraic topology, most often homotopy theory.".
- Nerve_(category_theory) label "Nerve (category theory)".
- Nerve_(category_theory) sameAs m.0d417y.
- Nerve_(category_theory) sameAs Q17099363.
- Nerve_(category_theory) sameAs Q17099363.
- Nerve_(category_theory) wasDerivedFrom Nerve_(category_theory)?oldid=596815566.
- Nerve_(category_theory) depiction Nerve-2-simplex.png.
- Nerve_(category_theory) isPrimaryTopicOf Nerve_(category_theory).