Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Homeomorphism> ?p ?o }
- Homeomorphism abstract "In the mathematical field of topology, a homeomorphism or topological isomorphism or bi continuous function is a continuous function between topological spaces that has a continuous inverse function. Homeomorphisms are the isomorphisms in the category of topological spaces—that is, they are the mappings that preserve all the topological properties of a given space. Two spaces with a homeomorphism between them are called homeomorphic, and from a topological viewpoint they are the same. The word homeomorphism comes from the Greek words ὅμοιος (homoios) = similar and μορφή (morphē) = shape, form.Roughly speaking, a topological space is a geometric object, and the homeomorphism is a continuous stretching and bending of the object into a new shape. Thus, a square and a circle are homeomorphic to each other, but a sphere and a torus are not. An often-repeated mathematical joke is that topologists can't tell the difference between a coffee cup and a donut, since a sufficiently pliable donut could be reshaped to the form of a coffee cup by creating a dimple and progressively enlarging it, while preserving the donut hole in a cup's handle.Topology is the study of those properties of objects that do not change when homeomorphisms are applied.".
- Homeomorphism thumbnail Mug_and_Torus_morph.gif?width=300.
- Homeomorphism wikiPageID "13660".
- Homeomorphism wikiPageLength "10411".
- Homeomorphism wikiPageOutDegree "86".
- Homeomorphism wikiPageRevisionID "678252120".
- Homeomorphism wikiPageWikiLink Alexanders_trick.
- Homeomorphism wikiPageWikiLink Ball_(mathematics).
- Homeomorphism wikiPageWikiLink Bijection.
- Homeomorphism wikiPageWikiLink Category:Functions_and_mappings.
- Homeomorphism wikiPageWikiLink Category:Homeomorphisms.
- Homeomorphism wikiPageWikiLink Category_of_topological_spaces.
- Homeomorphism wikiPageWikiLink Circle.
- Homeomorphism wikiPageWikiLink Class_(set_theory).
- Homeomorphism wikiPageWikiLink Closed_mapping.
- Homeomorphism wikiPageWikiLink Closed_set.
- Homeomorphism wikiPageWikiLink Compact-open_topology.
- Homeomorphism wikiPageWikiLink Compact_space.
- Homeomorphism wikiPageWikiLink Complete_metric_space.
- Homeomorphism wikiPageWikiLink Completeness_(topology).
- Homeomorphism wikiPageWikiLink Connectedness.
- Homeomorphism wikiPageWikiLink Continuity_(topology).
- Homeomorphism wikiPageWikiLink Continuous_function.
- Homeomorphism wikiPageWikiLink Dehn_twist.
- Homeomorphism wikiPageWikiLink Diffeomorphism.
- Homeomorphism wikiPageWikiLink Dimension.
- Homeomorphism wikiPageWikiLink Equivalence_class.
- Homeomorphism wikiPageWikiLink Equivalence_relation.
- Homeomorphism wikiPageWikiLink File:Mug_and_Torus_morph.gif.
- Homeomorphism wikiPageWikiLink Function_(mathematics).
- Homeomorphism wikiPageWikiLink Geometry.
- Homeomorphism wikiPageWikiLink Greek_language.
- Homeomorphism wikiPageWikiLink Group_(mathematics).
- Homeomorphism wikiPageWikiLink Hausdorff_space.
- Homeomorphism wikiPageWikiLink Homeomorphism_(graph_theory).
- Homeomorphism wikiPageWikiLink Homeomorphism_group.
- Homeomorphism wikiPageWikiLink Homology_(mathematics).
- Homeomorphism wikiPageWikiLink Homology_group.
- Homeomorphism wikiPageWikiLink Homotopy.
- Homeomorphism wikiPageWikiLink Homotopy_equivalence.
- Homeomorphism wikiPageWikiLink Identity_function.
- Homeomorphism wikiPageWikiLink Injective_function.
- Homeomorphism wikiPageWikiLink Interval_(mathematics).
- Homeomorphism wikiPageWikiLink Inverse_function.
- Homeomorphism wikiPageWikiLink Isometric_isomorphism.
- Homeomorphism wikiPageWikiLink Isometry.
- Homeomorphism wikiPageWikiLink Isomorphism.
- Homeomorphism wikiPageWikiLink Line_segment.
- Homeomorphism wikiPageWikiLink Local_homeomorphism.
- Homeomorphism wikiPageWikiLink Map_(mathematics).
- Homeomorphism wikiPageWikiLink Mapping_class_group.
- Homeomorphism wikiPageWikiLink Mathematical_joke.
- Homeomorphism wikiPageWikiLink Mathematics.
- Homeomorphism wikiPageWikiLink Metric_space.
- Homeomorphism wikiPageWikiLink Metric_spaces.
- Homeomorphism wikiPageWikiLink Onto.
- Homeomorphism wikiPageWikiLink Open_and_closed_maps.
- Homeomorphism wikiPageWikiLink Open_mapping.
- Homeomorphism wikiPageWikiLink Open_set.
- Homeomorphism wikiPageWikiLink Plane_(geometry).
- Homeomorphism wikiPageWikiLink Plane_(mathematics).
- Homeomorphism wikiPageWikiLink Poincaré_conjecture.
- Homeomorphism wikiPageWikiLink Principal_homogeneous_space.
- Homeomorphism wikiPageWikiLink Product_topology.
- Homeomorphism wikiPageWikiLink Real_line.
- Homeomorphism wikiPageWikiLink Real_number.
- Homeomorphism wikiPageWikiLink Spectrum_of_a_ring.
- Homeomorphism wikiPageWikiLink Sphere.
- Homeomorphism wikiPageWikiLink Square.
- Homeomorphism wikiPageWikiLink Square_(geometry).
- Homeomorphism wikiPageWikiLink Stereographic_projection.
- Homeomorphism wikiPageWikiLink Surjective_function.
- Homeomorphism wikiPageWikiLink Topological_group.
- Homeomorphism wikiPageWikiLink Topological_property.
- Homeomorphism wikiPageWikiLink Topological_space.
- Homeomorphism wikiPageWikiLink Topological_spaces.
- Homeomorphism wikiPageWikiLink Topology.
- Homeomorphism wikiPageWikiLink Torsor.
- Homeomorphism wikiPageWikiLink Torus.
- Homeomorphism wikiPageWikiLink Uniform_isomorphism.
- Homeomorphism wikiPageWikiLink Uniform_space.
- Homeomorphism wikiPageWikiLink Uniform_spaces.
- Homeomorphism wikiPageWikiLink Unit_square.
- Homeomorphism wikiPageWikiLink Wikt:μορφή.
- Homeomorphism wikiPageWikiLink Wikt:ὅμοιος.
- Homeomorphism wikiPageWikiLink File:Trefoil_knot_arb.png.
- Homeomorphism wikiPageWikiLinkText "Homeomorphism".
- Homeomorphism wikiPageWikiLinkText "deformation map".
- Homeomorphism wikiPageWikiLinkText "deformation".
- Homeomorphism wikiPageWikiLinkText "homeomorphic".
- Homeomorphism wikiPageWikiLinkText "homeomorphically embedded".
- Homeomorphism wikiPageWikiLinkText "homeomorphically".
- Homeomorphism wikiPageWikiLinkText "homeomorphism or topological isomorphism or bi continuous function".
- Homeomorphism wikiPageWikiLinkText "homeomorphism".
- Homeomorphism wikiPageWikiLinkText "homoeomorphic".
- Homeomorphism wikiPageWikiLinkText "identified".
- Homeomorphism wikiPageWikiLinkText "identifying open intervals with the real line".
- Homeomorphism wikiPageWikiLinkText "non-homeomorphic".
- Homeomorphism wikiPageWikiLinkText "self-homeomorphism".
- Homeomorphism wikiPageWikiLinkText "topological classification".