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- Dogbone_space abstract "In geometric topology, the dogbone space, constructed by R. H. Bing (1957), is a quotient space of three-dimensional Euclidean space R3 such that all inverse images of points are points or tame arcs, yet it is not homeomorphic to R3. The name "dogbone space" refers to a fanciful resemblance between some of the diagrams of genus 2 surfaces in R.H. Bing's paper and a dog bone. Bing (1959) showed that the product of the dogbone space with R1 is homeomorphic to R4.Although the dogbone space is not a manifold, it is a generalized homological manifold and a homotopy manifold.".
- Dogbone_space wikiPageExternalLink item=chel-362.h.
- Dogbone_space wikiPageID "25781757".
- Dogbone_space wikiPageLength "2078".
- Dogbone_space wikiPageOutDegree "15".
- Dogbone_space wikiPageRevisionID "647353154".
- Dogbone_space wikiPageWikiLink Annals_of_Mathematics.
- Dogbone_space wikiPageWikiLink Category:Geometric_topology.
- Dogbone_space wikiPageWikiLink Category:Topological_spaces.
- Dogbone_space wikiPageWikiLink Euclidean_space.
- Dogbone_space wikiPageWikiLink File:Bings_Dogbone.tiff.
- Dogbone_space wikiPageWikiLink Generalized_homological_manifold.
- Dogbone_space wikiPageWikiLink Geometric_topology.
- Dogbone_space wikiPageWikiLink Homeomorphic.
- Dogbone_space wikiPageWikiLink Homeomorphism.
- Dogbone_space wikiPageWikiLink Homotopy_manifold.
- Dogbone_space wikiPageWikiLink Image_(mathematics).
- Dogbone_space wikiPageWikiLink Inverse_image.
- Dogbone_space wikiPageWikiLink Product_topology.
- Dogbone_space wikiPageWikiLink Quotient_space_(topology).
- Dogbone_space wikiPageWikiLink Tame_arc.
- Dogbone_space wikiPageWikiLink Whitehead_manifold.
- Dogbone_space wikiPageWikiLinkText "Dogbone space".
- Dogbone_space wikiPageWikiLinkText "dogbone space".
- Dogbone_space authorlink "R. H. Bing".
- Dogbone_space first "R. H.".
- Dogbone_space hasPhotoCollection Dogbone_space.
- Dogbone_space last "Bing".
- Dogbone_space wikiPageUsesTemplate Template:Citation.
- Dogbone_space wikiPageUsesTemplate Template:Harvs.
- Dogbone_space wikiPageUsesTemplate Template:Harvtxt.
- Dogbone_space year "1957".
- Dogbone_space subject Category:Geometric_topology.
- Dogbone_space subject Category:Topological_spaces.
- Dogbone_space hypernym Space.
- Dogbone_space type Space.
- Dogbone_space comment "In geometric topology, the dogbone space, constructed by R. H. Bing (1957), is a quotient space of three-dimensional Euclidean space R3 such that all inverse images of points are points or tame arcs, yet it is not homeomorphic to R3. The name "dogbone space" refers to a fanciful resemblance between some of the diagrams of genus 2 surfaces in R.H. Bing's paper and a dog bone.".
- Dogbone_space label "Dogbone space".
- Dogbone_space sameAs m.03qdztk.
- Dogbone_space sameAs Q5288317.
- Dogbone_space sameAs Q5288317.
- Dogbone_space wasDerivedFrom Dogbone_space?oldid=647353154.
- Dogbone_space isPrimaryTopicOf Dogbone_space.