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- Homotopical_algebra abstract "In mathematics, homotopical algebra is a collection of concepts comprising the nonabelian aspects of homological algebra as well as possibly the abelian aspects as special cases. The homotopical nomenclature stems from the fact that a common approach to such generalizations is via abstract homotopy theory, as in nonabelian algebraic topology, and in particular the theory of closed model categories.This subject has received much attention in recent years due to new foundational work of Voevodsky, Friedlander, Suslin, and others resulting in the A1 homotopy theory for quasiprojective varieties over a field. Voevodsky has used this new algebraic homotopy theory to prove the Milnor conjecture (for which he was awarded the Fields Medal) and later, in collaboration with M. Rost, the full Bloch-Kato conjecture.".
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- Homotopical_algebra wikiPageRevisionID "678061023".
- Homotopical_algebra wikiPageWikiLink Abelian_category.
- Homotopical_algebra wikiPageWikiLink Abstract_homotopy_theory.
- Homotopical_algebra wikiPageWikiLink American_Mathematical_Society.
- Homotopical_algebra wikiPageWikiLink Andrei_Suslin.
- Homotopical_algebra wikiPageWikiLink A¹_homotopy_theory.
- Homotopical_algebra wikiPageWikiLink Categorical_algebra.
- Homotopical_algebra wikiPageWikiLink Category:Algebraic_topology.
- Homotopical_algebra wikiPageWikiLink Category:Topological_methods_of_algebraic_geometry.
- Homotopical_algebra wikiPageWikiLink Eric_Friedlander.
- Homotopical_algebra wikiPageWikiLink Field_(mathematics).
- Homotopical_algebra wikiPageWikiLink Fields_Medal.
- Homotopical_algebra wikiPageWikiLink Higher-dimensional_algebra.
- Homotopical_algebra wikiPageWikiLink Homological_algebra.
- Homotopical_algebra wikiPageWikiLink Markus_Rost.
- Homotopical_algebra wikiPageWikiLink Mathematics.
- Homotopical_algebra wikiPageWikiLink Milnor_conjecture.
- Homotopical_algebra wikiPageWikiLink Model_category.
- Homotopical_algebra wikiPageWikiLink Nonabelian_homological_algebra.
- Homotopical_algebra wikiPageWikiLink Norm_residue_isomorphism_theorem.
- Homotopical_algebra wikiPageWikiLink Quasi-projective_variety.
- Homotopical_algebra wikiPageWikiLink Springer_Science+Business_Media.
- Homotopical_algebra wikiPageWikiLink Vladimir_Voevodsky.
- Homotopical_algebra wikiPageWikiLinkText "Homotopical algebra".
- Homotopical_algebra wikiPageWikiLinkText "homotopical algebra".
- Homotopical_algebra wikiPageWikiLinkText "homotopical".
- Homotopical_algebra wikiPageUsesTemplate Template:Citation.
- Homotopical_algebra wikiPageUsesTemplate Template:Geometry-stub.
- Homotopical_algebra wikiPageUsesTemplate Template:Topology-stub.
- Homotopical_algebra subject Category:Algebraic_topology.
- Homotopical_algebra subject Category:Topological_methods_of_algebraic_geometry.
- Homotopical_algebra hypernym Collection.
- Homotopical_algebra type Book.
- Homotopical_algebra type Method.
- Homotopical_algebra comment "In mathematics, homotopical algebra is a collection of concepts comprising the nonabelian aspects of homological algebra as well as possibly the abelian aspects as special cases.".
- Homotopical_algebra label "Homotopical algebra".
- Homotopical_algebra sameAs Q5891810.
- Homotopical_algebra sameAs ホモトピー代数学.
- Homotopical_algebra sameAs m.04sn37.
- Homotopical_algebra sameAs Q5891810.
- Homotopical_algebra wasDerivedFrom Homotopical_algebra?oldid=678061023.
- Homotopical_algebra isPrimaryTopicOf Homotopical_algebra.