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- Directed_algebraic_topology abstract "In mathematics, directed algebraic topology is a refinement of algebraic topology for directed spaces, topological spaces and their combinatorial counterparts equipped with some notion of direction. Some common examples of directed spaces are spactimes and simplicial sets. The basic goal is to find algebraic invariants that classify directed spaces up to directed analogues of homotopy equivalence. For example, homotopy groups and fundamental n-groupoids of spaces generalize to homotopy monoids and fundamental n-categories of directed spaces. Directed algebraic topology, like algebraic topology, is motivated by the need to describe qualitative properties of complex systems in terms of algebraic properties of state spaces, which are often directed by time. Thus directed algebraic topology finds applications in Concurrency (computer science), Network traffic control, General Relativity, Noncommutative Geometry, Rewriting Theory, and Biological systems.".
- Directed_algebraic_topology wikiPageExternalLink Bsy.pdf.
- Directed_algebraic_topology wikiPageExternalLink Fda0.Amiens.pdf.
- Directed_algebraic_topology wikiPageExternalLink 10-14.pdf.
- Directed_algebraic_topology wikiPageID "22650816".
- Directed_algebraic_topology wikiPageLength "15578".
- Directed_algebraic_topology wikiPageOutDegree "33".
- Directed_algebraic_topology wikiPageRevisionID "639006064".
- Directed_algebraic_topology wikiPageWikiLink Adjoint_functor.
- Directed_algebraic_topology wikiPageWikiLink Adjoint_functors.
- Directed_algebraic_topology wikiPageWikiLink Algebraic_topology.
- Directed_algebraic_topology wikiPageWikiLink Biological_system.
- Directed_algebraic_topology wikiPageWikiLink Biological_systems.
- Directed_algebraic_topology wikiPageWikiLink Category:Algebraic_topology.
- Directed_algebraic_topology wikiPageWikiLink Category_Theory.
- Directed_algebraic_topology wikiPageWikiLink Category_theory.
- Directed_algebraic_topology wikiPageWikiLink Cofibration.
- Directed_algebraic_topology wikiPageWikiLink Concurrency_(computer_science).
- Directed_algebraic_topology wikiPageWikiLink Cover_(topology).
- Directed_algebraic_topology wikiPageWikiLink Differentiable_manifold.
- Directed_algebraic_topology wikiPageWikiLink E._W._Dijkstra.
- Directed_algebraic_topology wikiPageWikiLink Edsger_W._Dijkstra.
- Directed_algebraic_topology wikiPageWikiLink Forgetful_functor.
- Directed_algebraic_topology wikiPageWikiLink Fundamental_group.
- Directed_algebraic_topology wikiPageWikiLink Fundamental_groupoid.
- Directed_algebraic_topology wikiPageWikiLink Fundamental_n-categories.
- Directed_algebraic_topology wikiPageWikiLink Fundamental_n-groupoids.
- Directed_algebraic_topology wikiPageWikiLink General_Relativity.
- Directed_algebraic_topology wikiPageWikiLink General_relativity.
- Directed_algebraic_topology wikiPageWikiLink Homotopy_group.
- Directed_algebraic_topology wikiPageWikiLink Homotopy_groups.
- Directed_algebraic_topology wikiPageWikiLink Homotopy_monoids.
- Directed_algebraic_topology wikiPageWikiLink Localization_of_a_category.
- Directed_algebraic_topology wikiPageWikiLink Mathematics.
- Directed_algebraic_topology wikiPageWikiLink Model_category.
- Directed_algebraic_topology wikiPageWikiLink Network_traffic_control.
- Directed_algebraic_topology wikiPageWikiLink Noncommutative_Geometry.
- Directed_algebraic_topology wikiPageWikiLink Open_covering.
- Directed_algebraic_topology wikiPageWikiLink Partial_order.
- Directed_algebraic_topology wikiPageWikiLink Partially_ordered_set.
- Directed_algebraic_topology wikiPageWikiLink Path_(topology).
- Directed_algebraic_topology wikiPageWikiLink Rewriting_Theory.
- Directed_algebraic_topology wikiPageWikiLink Seifert–van_Kampen_theorem.
- Directed_algebraic_topology wikiPageWikiLink Semaphore_(programming).
- Directed_algebraic_topology wikiPageWikiLink Sheaf_(mathematics).
- Directed_algebraic_topology wikiPageWikiLink Simplicial_sets.
- Directed_algebraic_topology wikiPageWikiLink Smooth_manifold.
- Directed_algebraic_topology wikiPageWikiLink Spactimes.
- Directed_algebraic_topology wikiPageWikiLink Topological_space.
- Directed_algebraic_topology wikiPageWikiLink Topological_spaces.
- Directed_algebraic_topology wikiPageWikiLink Topology.
- Directed_algebraic_topology wikiPageWikiLink Weak_equivalence_(homotopy_theory).
- Directed_algebraic_topology wikiPageWikiLinkText "Directed algebraic topology".
- Directed_algebraic_topology hasPhotoCollection Directed_algebraic_topology.
- Directed_algebraic_topology subject Category:Algebraic_topology.
- Directed_algebraic_topology hypernym Refinement.
- Directed_algebraic_topology comment "In mathematics, directed algebraic topology is a refinement of algebraic topology for directed spaces, topological spaces and their combinatorial counterparts equipped with some notion of direction. Some common examples of directed spaces are spactimes and simplicial sets. The basic goal is to find algebraic invariants that classify directed spaces up to directed analogues of homotopy equivalence.".
- Directed_algebraic_topology label "Directed algebraic topology".
- Directed_algebraic_topology sameAs m.05zncn5.
- Directed_algebraic_topology sameAs Q5280404.
- Directed_algebraic_topology sameAs Q5280404.
- Directed_algebraic_topology wasDerivedFrom Directed_algebraic_topology?oldid=639006064.
- Directed_algebraic_topology isPrimaryTopicOf Directed_algebraic_topology.