Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Chain_complex> ?p ?o }
- Chain_complex abstract "In mathematics, chain complex and cochain complex are constructs originally used in the field of algebraic topology. They are algebraic means of representing the relationships between the cycles and boundaries in various dimensions of a topological space. More generally, homological algebra includes the study of chain complexes in the abstract, without any reference to an underlying space. In this case, chain complexes are studied axiomatically as algebraic structures.Applications of chain complexes usually define and apply their homology groups (cohomology groups for cochain complexes); in more abstract settings various equivalence relations are applied to complexes (for example starting with the chain homotopy idea). Chain complexes are easily defined in abelian categories, also.".
- Chain_complex wikiPageID "138404".
- Chain_complex wikiPageLength "10388".
- Chain_complex wikiPageOutDegree "58".
- Chain_complex wikiPageRevisionID "650914346".
- Chain_complex wikiPageWikiLink Abelian_categories.
- Chain_complex wikiPageWikiLink Abelian_category.
- Chain_complex wikiPageWikiLink Abelian_group.
- Chain_complex wikiPageWikiLink Addition.
- Chain_complex wikiPageWikiLink Algebraic_structure.
- Chain_complex wikiPageWikiLink Algebraic_topology.
- Chain_complex wikiPageWikiLink Almost_all.
- Chain_complex wikiPageWikiLink Boundary_(algebraic_topology).
- Chain_complex wikiPageWikiLink Boundary_(topology).
- Chain_complex wikiPageWikiLink Braided_monoidal_category.
- Chain_complex wikiPageWikiLink Category:Differential_topology.
- Chain_complex wikiPageWikiLink Category:Homological_algebra.
- Chain_complex wikiPageWikiLink Category_(mathematics).
- Chain_complex wikiPageWikiLink Chain_(algebraic_topology).
- Chain_complex wikiPageWikiLink Chain_homotopy.
- Chain_complex wikiPageWikiLink Closed_monoidal_category.
- Chain_complex wikiPageWikiLink Cohomology.
- Chain_complex wikiPageWikiLink Cohomology_group.
- Chain_complex wikiPageWikiLink Constant_function.
- Chain_complex wikiPageWikiLink Cycle_(algebraic_topology).
- Chain_complex wikiPageWikiLink Differentiable_manifold.
- Chain_complex wikiPageWikiLink Differential_graded_Lie_algebra.
- Chain_complex wikiPageWikiLink Differential_graded_algebra.
- Chain_complex wikiPageWikiLink Dold–Kan_correspondence.
- Chain_complex wikiPageWikiLink Exterior_derivative.
- Chain_complex wikiPageWikiLink Free_abelian_group.
- Chain_complex wikiPageWikiLink Functor.
- Chain_complex wikiPageWikiLink Homological_algebra.
- Chain_complex wikiPageWikiLink Homology_(mathematics).
- Chain_complex wikiPageWikiLink Homology_group.
- Chain_complex wikiPageWikiLink Homology_theory.
- Chain_complex wikiPageWikiLink Homomorphism.
- Chain_complex wikiPageWikiLink Homotopy_category_of_chain_complexes.
- Chain_complex wikiPageWikiLink If_and_only_if.
- Chain_complex wikiPageWikiLink Image_(mathematics).
- Chain_complex wikiPageWikiLink Kernel_(algebra).
- Chain_complex wikiPageWikiLink Mapping_cone_(homological_algebra).
- Chain_complex wikiPageWikiLink Mathematics.
- Chain_complex wikiPageWikiLink Module_(mathematics).
- Chain_complex wikiPageWikiLink Morphism.
- Chain_complex wikiPageWikiLink Natural_number.
- Chain_complex wikiPageWikiLink Real_number.
- Chain_complex wikiPageWikiLink Simplicial_abelian_group.
- Chain_complex wikiPageWikiLink Simplicial_complex.
- Chain_complex wikiPageWikiLink Simplicial_group.
- Chain_complex wikiPageWikiLink Singular_homology.
- Chain_complex wikiPageWikiLink Smooth_manifold.
- Chain_complex wikiPageWikiLink Springer-Verlag.
- Chain_complex wikiPageWikiLink Springer_Science+Business_Media.
- Chain_complex wikiPageWikiLink Symmetric_monoidal_category.
- Chain_complex wikiPageWikiLink Symmetry_of_second_derivatives.
- Chain_complex wikiPageWikiLink Tensor_product.
- Chain_complex wikiPageWikiLink Topological_space.
- Chain_complex wikiPageWikiLink Vector_space.
- Chain_complex wikiPageWikiLink Vertex_(geometry).
- Chain_complex wikiPageWikiLinkText "Chain complex".
- Chain_complex wikiPageWikiLinkText "boundary map".
- Chain_complex wikiPageWikiLinkText "chain complex".
- Chain_complex wikiPageWikiLinkText "chain map".
- Chain_complex wikiPageWikiLinkText "chain maps".
- Chain_complex wikiPageWikiLinkText "chain".
- Chain_complex wikiPageWikiLinkText "co-chain complex".
- Chain_complex wikiPageWikiLinkText "cocycle".
- Chain_complex wikiPageWikiLinkText "complex".
- Chain_complex wikiPageWikiLinkText "differential".
- Chain_complex wikiPageWikiLinkText "homotopy classes".
- Chain_complex hasPhotoCollection Chain_complex.
- Chain_complex wikiPageUsesTemplate Template:Citation.
- Chain_complex wikiPageUsesTemplate Template:Expand_section.
- Chain_complex wikiPageUsesTemplate Template:Main.
- Chain_complex wikiPageUsesTemplate Template:Redirect.
- Chain_complex subject Category:Differential_topology.
- Chain_complex subject Category:Homological_algebra.
- Chain_complex hypernym Constructs.
- Chain_complex type Article.
- Chain_complex type Article.
- Chain_complex type Physic.
- Chain_complex comment "In mathematics, chain complex and cochain complex are constructs originally used in the field of algebraic topology. They are algebraic means of representing the relationships between the cycles and boundaries in various dimensions of a topological space. More generally, homological algebra includes the study of chain complexes in the abstract, without any reference to an underlying space.".
- Chain_complex label "Chain complex".
- Chain_complex sameAs Complex_de_cadenes.
- Chain_complex sameAs Kettenkomplex.
- Chain_complex sameAs Complejo_de_cadenas.
- Chain_complex sameAs Complexe_différentiel.
- Chain_complex sameAs קומפלקס_שרשרת.
- Chain_complex sameAs Complesso_di_catene.
- Chain_complex sameAs 鎖複体.
- Chain_complex sameAs 사슬_복합체.
- Chain_complex sameAs Ketencomplex.
- Chain_complex sameAs Kompleks_łańcuchowy.
- Chain_complex sameAs Complexo_de_cadeias.
- Chain_complex sameAs m.010wr5.
- Chain_complex sameAs Цепной_комплекс.
- Chain_complex sameAs Kedjekomplex.
- Chain_complex sameAs Ланцюговий_комплекс.
- Chain_complex sameAs Q1143328.