Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Classifying_space> ?p ?o }
- Classifying_space abstract "In mathematics, specifically in homotopy theory, a classifying space BG of a topological group G is the quotient of a weakly contractible space EG (i.e. a topological space for which all its homotopy groups are trivial) by a free action of G. It has the property that any G principal bundle over a paracompact manifold is isomorphic to a pullback of the principal bundle EG → BG.For a discrete group G, BG is, roughly speaking, a path-connected topological space X such that the fundamental group of X is isomorphic to G and the higher homotopy groups of X are trivial, that is, BG is an Eilenberg-Maclane space, or a K(G,1).".
- Classifying_space wikiPageID "923556".
- Classifying_space wikiPageLength "8676".
- Classifying_space wikiPageOutDegree "96".
- Classifying_space wikiPageRevisionID "686605225".
- Classifying_space wikiPageWikiLink Algebraic_topology.
- Classifying_space wikiPageWikiLink Borels_theorem.
- Classifying_space wikiPageWikiLink Bott_periodicity_theorem.
- Classifying_space wikiPageWikiLink Browns_representability_theorem.
- Classifying_space wikiPageWikiLink CW_complex.
- Classifying_space wikiPageWikiLink Category:Algebraic_topology.
- Classifying_space wikiPageWikiLink Category:Fiber_bundles.
- Classifying_space wikiPageWikiLink Category:Homotopy_theory.
- Classifying_space wikiPageWikiLink Category:Representable_functors.
- Classifying_space wikiPageWikiLink Category_of_sets.
- Classifying_space wikiPageWikiLink Characteristic_class.
- Classifying_space wikiPageWikiLink Chern–Weil_homomorphism.
- Classifying_space wikiPageWikiLink Circle.
- Classifying_space wikiPageWikiLink Classifying_space_for_O(n).
- Classifying_space wikiPageWikiLink Classifying_space_for_U(n).
- Classifying_space wikiPageWikiLink Classifying_topos.
- Classifying_space wikiPageWikiLink Closed_manifold.
- Classifying_space wikiPageWikiLink Cobordism.
- Classifying_space wikiPageWikiLink Cohomology.
- Classifying_space wikiPageWikiLink Compact_space.
- Classifying_space wikiPageWikiLink Configuration_space.
- Classifying_space wikiPageWikiLink Connected_space.
- Classifying_space wikiPageWikiLink Continuous_function.
- Classifying_space wikiPageWikiLink Contractible_space.
- Classifying_space wikiPageWikiLink Covering_space.
- Classifying_space wikiPageWikiLink Cubical_complex.
- Classifying_space wikiPageWikiLink Cyclic_group.
- Classifying_space wikiPageWikiLink Differential_geometry.
- Classifying_space wikiPageWikiLink Discrete_group.
- Classifying_space wikiPageWikiLink Eilenberg–MacLane_space.
- Classifying_space wikiPageWikiLink Equivariant_cohomology.
- Classifying_space wikiPageWikiLink Existence_theorem.
- Classifying_space wikiPageWikiLink Fiber_bundle.
- Classifying_space wikiPageWikiLink Foliation.
- Classifying_space wikiPageWikiLink Free_abelian_group.
- Classifying_space wikiPageWikiLink Free_group.
- Classifying_space wikiPageWikiLink Functor.
- Classifying_space wikiPageWikiLink Fundamental_group.
- Classifying_space wikiPageWikiLink Genus_(mathematics).
- Classifying_space wikiPageWikiLink Grassmannian.
- Classifying_space wikiPageWikiLink Group_action.
- Classifying_space wikiPageWikiLink Group_cohomology.
- Classifying_space wikiPageWikiLink H_Cartans_theorem.
- Classifying_space wikiPageWikiLink Hadamard_space.
- Classifying_space wikiPageWikiLink Helix.
- Classifying_space wikiPageWikiLink Hilbert_space.
- Classifying_space wikiPageWikiLink Homological_algebra.
- Classifying_space wikiPageWikiLink Homotopy.
- Classifying_space wikiPageWikiLink Homotopy_category.
- Classifying_space wikiPageWikiLink Homotopy_group.
- Classifying_space wikiPageWikiLink Hyperbolic_manifold.
- Classifying_space wikiPageWikiLink Intuitionistic_logic.
- Classifying_space wikiPageWikiLink Lie_group.
- Classifying_space wikiPageWikiLink Mathematics.
- Classifying_space wikiPageWikiLink Orthogonal_group.
- Classifying_space wikiPageWikiLink Paracompact_space.
- Classifying_space wikiPageWikiLink Principal_bundle.
- Classifying_space wikiPageWikiLink Projective_space.
- Classifying_space wikiPageWikiLink Pullback_bundle.
- Classifying_space wikiPageWikiLink Quotient_space_(topology).
- Classifying_space wikiPageWikiLink Quotient_stack.
- Classifying_space wikiPageWikiLink Real_line.
- Classifying_space wikiPageWikiLink Real_projective_space.
- Classifying_space wikiPageWikiLink Representable_functor.
- Classifying_space wikiPageWikiLink Simplicial_complex.
- Classifying_space wikiPageWikiLink Standard_complex.
- Classifying_space wikiPageWikiLink Surface.
- Classifying_space wikiPageWikiLink Thom_space.
- Classifying_space wikiPageWikiLink Topological_group.
- Classifying_space wikiPageWikiLink Topological_space.
- Classifying_space wikiPageWikiLink Torus.
- Classifying_space wikiPageWikiLink Trivial_group.
- Classifying_space wikiPageWikiLink Unitary_group.
- Classifying_space wikiPageWikiLink Universal_bundle.
- Classifying_space wikiPageWikiLink Universal_property.
- Classifying_space wikiPageWikiLink Weak_equivalence_(homotopy_theory).
- Classifying_space wikiPageWikiLink Weakly_contractible.
- Classifying_space wikiPageWikiLinkText "Classifying space".
- Classifying_space wikiPageWikiLinkText "classifying space".
- Classifying_space id "C/c022440".
- Classifying_space title "Classifying space".
- Classifying_space wikiPageUsesTemplate Template:Clarify.
- Classifying_space wikiPageUsesTemplate Template:Math.
- Classifying_space wikiPageUsesTemplate Template:Springer.
- Classifying_space subject Category:Algebraic_topology.
- Classifying_space subject Category:Fiber_bundles.
- Classifying_space subject Category:Homotopy_theory.
- Classifying_space subject Category:Representable_functors.
- Classifying_space hypernym Quotient.
- Classifying_space type Bundle.
- Classifying_space type Functor.
- Classifying_space type Mapping.
- Classifying_space comment "In mathematics, specifically in homotopy theory, a classifying space BG of a topological group G is the quotient of a weakly contractible space EG (i.e. a topological space for which all its homotopy groups are trivial) by a free action of G.".
- Classifying_space label "Classifying space".
- Classifying_space sameAs Q5128445.