Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Model_category> ?p ?o }
- Model_category abstract "In mathematics, particularly in homotopy theory, a model category is a category with distinguished classes of morphisms ('arrows') called 'weak equivalences', 'fibrations' and 'cofibrations'. These abstract from a conventional homotopy category, of topological spaces or of chain complexes (derived category theory). This concept was introduced by Daniel G. Quillen (1967).In recent decades, the language of model categories has been used in some parts of algebraic K-theory and algebraic geometry, where homotopy-theoretic approaches led to deep results.".
- Model_category thumbnail Model_category_retract.png?width=300.
- Model_category wikiPageExternalLink goerss.pdf.
- Model_category wikiPageExternalLink theories.pdf.
- Model_category wikiPageExternalLink do-we-still-need-model-categories.
- Model_category wikiPageExternalLink 8675.
- Model_category wikiPageExternalLink Model+categories.
- Model_category wikiPageExternalLink cylinder+object.
- Model_category wikiPageExternalLink path+space+object.
- Model_category wikiPageExternalLink ast.pdf.
- Model_category wikiPageID "2895304".
- Model_category wikiPageLength "15711".
- Model_category wikiPageOutDegree "67".
- Model_category wikiPageRevisionID "673946471".
- Model_category wikiPageWikiLink (∞,1)-category.
- Model_category wikiPageWikiLink Adjoint_functor.
- Model_category wikiPageWikiLink Adjoint_functors.
- Model_category wikiPageWikiLink Algebraic_K-theory.
- Model_category wikiPageWikiLink Algebraic_geometry.
- Model_category wikiPageWikiLink Bousfield_localization.
- Model_category wikiPageWikiLink CW_complex.
- Model_category wikiPageWikiLink CW_complexes.
- Model_category wikiPageWikiLink Category:Category_theory.
- Model_category wikiPageWikiLink Category:Homotopy_theory.
- Model_category wikiPageWikiLink Category_of_topological_spaces.
- Model_category wikiPageWikiLink Category_theory.
- Model_category wikiPageWikiLink Chain_complex.
- Model_category wikiPageWikiLink Chain_homotopy_equivalence.
- Model_category wikiPageWikiLink Cocycle_category.
- Model_category wikiPageWikiLink Cofibration.
- Model_category wikiPageWikiLink Cokernel.
- Model_category wikiPageWikiLink Complete_category.
- Model_category wikiPageWikiLink Derived_category.
- Model_category wikiPageWikiLink Epimorphism.
- Model_category wikiPageWikiLink Fibration.
- Model_category wikiPageWikiLink File:Model_category_lifting.png.
- Model_category wikiPageWikiLink File:Model_category_retract.png.
- Model_category wikiPageWikiLink Functor.
- Model_category wikiPageWikiLink Glossary_of_model_categories.
- Model_category wikiPageWikiLink Grothendieck_site.
- Model_category wikiPageWikiLink Grothendieck_topology.
- Model_category wikiPageWikiLink Homological_algebra.
- Model_category wikiPageWikiLink Homotopical_algebra.
- Model_category wikiPageWikiLink Homotopy.
- Model_category wikiPageWikiLink Homotopy_category.
- Model_category wikiPageWikiLink Homotopy_theory.
- Model_category wikiPageWikiLink Hurewicz_fibration.
- Model_category wikiPageWikiLink Initial_and_terminal_objects.
- Model_category wikiPageWikiLink Initial_object.
- Model_category wikiPageWikiLink Isomorphism.
- Model_category wikiPageWikiLink Kernel_(category_theory).
- Model_category wikiPageWikiLink Localization_of_a_category.
- Model_category wikiPageWikiLink Mathematics.
- Model_category wikiPageWikiLink Monomorphism.
- Model_category wikiPageWikiLink Morphism.
- Model_category wikiPageWikiLink Opposite_category.
- Model_category wikiPageWikiLink Presheaf.
- Model_category wikiPageWikiLink Quillen_adjunction.
- Model_category wikiPageWikiLink Reedy_category.
- Model_category wikiPageWikiLink Retract_(category_theory).
- Model_category wikiPageWikiLink Section_(category_theory).
- Model_category wikiPageWikiLink Sheaf_(mathematics).
- Model_category wikiPageWikiLink Sheaf_of_spectra.
- Model_category wikiPageWikiLink Simplex_category.
- Model_category wikiPageWikiLink Simplicial_category.
- Model_category wikiPageWikiLink Simplicial_commutative_ring.
- Model_category wikiPageWikiLink Simplicial_presheaf.
- Model_category wikiPageWikiLink Simplicial_set.
- Model_category wikiPageWikiLink Springer-Verlag.
- Model_category wikiPageWikiLink Springer_Science+Business_Media.
- Model_category wikiPageWikiLink Stable_model_category.
- Model_category wikiPageWikiLink Terminal_object.
- Model_category wikiPageWikiLink Topological_space.
- Model_category wikiPageWikiLink Weak_equivalence_(homotopy_theory).
- Model_category wikiPageWikiLinkText "Model category".
- Model_category wikiPageWikiLinkText "Quilen model categories".
- Model_category wikiPageWikiLinkText "Quillen Model categories".
- Model_category wikiPageWikiLinkText "Quillen model categories".
- Model_category wikiPageWikiLinkText "Quillen model category".
- Model_category wikiPageWikiLinkText "Quillen model functors".
- Model_category wikiPageWikiLinkText "Quillen model structures".
- Model_category wikiPageWikiLinkText "model categories".
- Model_category wikiPageWikiLinkText "model category".
- Model_category wikiPageWikiLinkText "model structure".
- Model_category wikiPageWikiLinkText "weak equivalence".
- Model_category wikiPageWikiLinkText "weak equivalences".
- Model_category authorlink "Daniel G. Quillen".
- Model_category first "Daniel G.".
- Model_category hasPhotoCollection Model_category.
- Model_category id "model+category".
- Model_category last "Quillen".
- Model_category title "Model category".
- Model_category wikiPageUsesTemplate Template:Citation.
- Model_category wikiPageUsesTemplate Template:Harvs.
- Model_category wikiPageUsesTemplate Template:Nlab.
- Model_category wikiPageUsesTemplate Template:Reflist.
- Model_category year "1967".
- Model_category subject Category:Category_theory.
- Model_category subject Category:Homotopy_theory.
- Model_category hypernym Category.