Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Simply_connected_space> ?p ?o }
- Simply_connected_space abstract "In topology, a topological space is called simply-connected (or 1-connected) if it is path-connected and every path between two points can be continuously transformed, staying within the space, into any other such path while preserving the two endpoints in question (see below for an informal discussion).If a space is not simply-connected, it is convenient to measure the extent to which it fails to be simply-connected; this is done by the fundamental group. Intuitively, the fundamental group measures how the holes behave on a space; if there are no holes, the fundamental group is trivial — equivalently, the space is simply connected.".
- Simply_connected_space thumbnail P1S2all.jpg?width=300.
- Simply_connected_space wikiPageID "523879".
- Simply_connected_space wikiPageLength "9350".
- Simply_connected_space wikiPageOutDegree "54".
- Simply_connected_space wikiPageRevisionID "670472294".
- Simply_connected_space wikiPageWikiLink Antiderivative.
- Simply_connected_space wikiPageWikiLink Aquarium.
- Simply_connected_space wikiPageWikiLink Banach_space.
- Simply_connected_space wikiPageWikiLink Category:Algebraic_topology.
- Simply_connected_space wikiPageWikiLink Category:Connection_(mathematics).
- Simply_connected_space wikiPageWikiLink Category:Properties_of_topological_spaces.
- Simply_connected_space wikiPageWikiLink Closed_and_exact_differential_forms.
- Simply_connected_space wikiPageWikiLink Complex_analysis.
- Simply_connected_space wikiPageWikiLink Complex_number.
- Simply_connected_space wikiPageWikiLink Conformal_map.
- Simply_connected_space wikiPageWikiLink Connected_space.
- Simply_connected_space wikiPageWikiLink Continuous_function.
- Simply_connected_space wikiPageWikiLink Continuous_function_(topology).
- Simply_connected_space wikiPageWikiLink Contractible_space.
- Simply_connected_space wikiPageWikiLink Convex_set.
- Simply_connected_space wikiPageWikiLink Convex_subset.
- Simply_connected_space wikiPageWikiLink Covering_space.
- Simply_connected_space wikiPageWikiLink Cylinder_(geometry).
- Simply_connected_space wikiPageWikiLink Deformation_retract.
- Simply_connected_space wikiPageWikiLink Euclidean_space.
- Simply_connected_space wikiPageWikiLink File:Torus_cycles.png.
- Simply_connected_space wikiPageWikiLink Fundamental_group.
- Simply_connected_space wikiPageWikiLink Genus_(mathematics).
- Simply_connected_space wikiPageWikiLink Hilbert_space.
- Simply_connected_space wikiPageWikiLink Holomorphic_function.
- Simply_connected_space wikiPageWikiLink Homotopic.
- Simply_connected_space wikiPageWikiLink Homotopy.
- Simply_connected_space wikiPageWikiLink Homotopy_equivalent.
- Simply_connected_space wikiPageWikiLink Identity_element.
- Simply_connected_space wikiPageWikiLink Klein_bottle.
- Simply_connected_space wikiPageWikiLink Line_integral.
- Simply_connected_space wikiPageWikiLink Long_line_(topology).
- Simply_connected_space wikiPageWikiLink Manifold.
- Simply_connected_space wikiPageWikiLink Möbius_strip.
- Simply_connected_space wikiPageWikiLink N-connected.
- Simply_connected_space wikiPageWikiLink N-sphere.
- Simply_connected_space wikiPageWikiLink Orthogonal_group.
- Simply_connected_space wikiPageWikiLink Path-connected.
- Simply_connected_space wikiPageWikiLink Poincaré_lemma.
- Simply_connected_space wikiPageWikiLink Projective_plane.
- Simply_connected_space wikiPageWikiLink Riemann_mapping_theorem.
- Simply_connected_space wikiPageWikiLink Riemann_sphere.
- Simply_connected_space wikiPageWikiLink Special_orthogonal_group.
- Simply_connected_space wikiPageWikiLink Special_unitary_group.
- Simply_connected_space wikiPageWikiLink Topological_space.
- Simply_connected_space wikiPageWikiLink Topological_vector_space.
- Simply_connected_space wikiPageWikiLink Topology.
- Simply_connected_space wikiPageWikiLink Torus.
- Simply_connected_space wikiPageWikiLink Unicoherent.
- Simply_connected_space wikiPageWikiLink Unicoherent_space.
- Simply_connected_space wikiPageWikiLink Unit_circle.
- Simply_connected_space wikiPageWikiLink Unit_disk.
- Simply_connected_space wikiPageWikiLink Universal_cover.
- Simply_connected_space wikiPageWikiLink File:P1S2all.jpg.
- Simply_connected_space wikiPageWikiLink File:Runge_theorem.svg.
- Simply_connected_space wikiPageWikiLinkText "''simply connected''".
- Simply_connected_space wikiPageWikiLinkText "Simply connected space".
- Simply_connected_space wikiPageWikiLinkText "Simply connected".
- Simply_connected_space wikiPageWikiLinkText "connected".
- Simply_connected_space wikiPageWikiLinkText "continuous".
- Simply_connected_space wikiPageWikiLinkText "multiply connected".
- Simply_connected_space wikiPageWikiLinkText "non-simply-connected".
- Simply_connected_space wikiPageWikiLinkText "simply connected space".
- Simply_connected_space wikiPageWikiLinkText "simply connected surfaces".
- Simply_connected_space wikiPageWikiLinkText "simply connected".
- Simply_connected_space wikiPageWikiLinkText "simply-connected".
- Simply_connected_space wikiPageWikiLinkText "topologists' meaning".
- Simply_connected_space hasPhotoCollection Simply_connected_space.
- Simply_connected_space wikiPageUsesTemplate Template:Cite_book.
- Simply_connected_space wikiPageUsesTemplate Template:No_footnotes.
- Simply_connected_space subject Category:Algebraic_topology.
- Simply_connected_space subject Category:Connection_(mathematics).
- Simply_connected_space subject Category:Properties_of_topological_spaces.
- Simply_connected_space type Property.
- Simply_connected_space type Space.
- Simply_connected_space comment "In topology, a topological space is called simply-connected (or 1-connected) if it is path-connected and every path between two points can be continuously transformed, staying within the space, into any other such path while preserving the two endpoints in question (see below for an informal discussion).If a space is not simply-connected, it is convenient to measure the extent to which it fails to be simply-connected; this is done by the fundamental group.".
- Simply_connected_space label "Simply connected space".
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- Simply_connected_space sameAs Q912058.