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- Hawaiian_earring abstract "In mathematics, the Hawaiian earring H is the topological space defined by the union of circles in the Euclidean plane R2 with center (1/n, 0) and radius 1/n for n = 1, 2, 3, .... The space H is homeomorphic to the one-point compactification of the union of a countably infinite family of open intervals.The Hawaiian earring can be given a complete metric and it is compact. It is path connected but not semilocally simply connected.The Hawaiian earring looks very similar to the wedge sum of countably infinitely many circles; that is, the rose with infinitely many petals, but those two spaces are not homeomorphic. The difference between their topologies is seen in the fact that, in the Hawaiian earring, every open neighborhood of the point of intersection of the circles contains all but finitely many of the circles. It is also seen in the fact that the wedge sum is not compact: the complement of the distinguished point is a union of open intervals; to those add a small open neighborhood of the distinguished point to get an open cover with no finite subcover.".
- Hawaiian_earring thumbnail Hawaiian_Earrings.svg?width=300.
- Hawaiian_earring wikiPageID "910263".
- Hawaiian_earring wikiPageLength "5066".
- Hawaiian_earring wikiPageOutDegree "24".
- Hawaiian_earring wikiPageRevisionID "656626519".
- Hawaiian_earring wikiPageWikiLink Abelianisation.
- Hawaiian_earring wikiPageWikiLink Alexandroff_extension.
- Hawaiian_earring wikiPageWikiLink Baer–Specker_group.
- Hawaiian_earring wikiPageWikiLink Category:Topological_spaces.
- Hawaiian_earring wikiPageWikiLink Commutator_subgroup.
- Hawaiian_earring wikiPageWikiLink Compact_space.
- Hawaiian_earring wikiPageWikiLink Complete_metric_space.
- Hawaiian_earring wikiPageWikiLink Complete_space.
- Hawaiian_earring wikiPageWikiLink Connected_space.
- Hawaiian_earring wikiPageWikiLink Cyclic_group.
- Hawaiian_earring wikiPageWikiLink Direct_product_of_groups.
- Hawaiian_earring wikiPageWikiLink Embedding.
- Hawaiian_earring wikiPageWikiLink Euclidean_plane.
- Hawaiian_earring wikiPageWikiLink Free_group.
- Hawaiian_earring wikiPageWikiLink Fundamental_group.
- Hawaiian_earring wikiPageWikiLink Homeomorphism.
- Hawaiian_earring wikiPageWikiLink Infinite_cyclic_group.
- Hawaiian_earring wikiPageWikiLink Interval_(mathematics).
- Hawaiian_earring wikiPageWikiLink Inverse_limit.
- Hawaiian_earring wikiPageWikiLink Mathematics.
- Hawaiian_earring wikiPageWikiLink One-point_compactification.
- Hawaiian_earring wikiPageWikiLink Path_connected.
- Hawaiian_earring wikiPageWikiLink Rose_(topology).
- Hawaiian_earring wikiPageWikiLink Semi-locally_simply_connected.
- Hawaiian_earring wikiPageWikiLink Semilocally_simply_connected.
- Hawaiian_earring wikiPageWikiLink Topological_space.
- Hawaiian_earring wikiPageWikiLink Two-dimensional_space.
- Hawaiian_earring wikiPageWikiLink Union_(set_theory).
- Hawaiian_earring wikiPageWikiLink Wedge_sum.
- Hawaiian_earring wikiPageWikiLink File:Hawaiian_Earrings.svg.
- Hawaiian_earring wikiPageWikiLinkText "Hawaiian earring".
- Hawaiian_earring hasPhotoCollection Hawaiian_earring.
- Hawaiian_earring wikiPageUsesTemplate Template:Citation.
- Hawaiian_earring subject Category:Topological_spaces.
- Hawaiian_earring hypernym Space.
- Hawaiian_earring type Space.
- Hawaiian_earring comment "In mathematics, the Hawaiian earring H is the topological space defined by the union of circles in the Euclidean plane R2 with center (1/n, 0) and radius 1/n for n = 1, 2, 3, .... The space H is homeomorphic to the one-point compactification of the union of a countably infinite family of open intervals.The Hawaiian earring can be given a complete metric and it is compact.".
- Hawaiian_earring label "Hawaiian earring".
- Hawaiian_earring sameAs m.03p1qg.
- Hawaiian_earring sameAs Гавайская_серьга.
- Hawaiian_earring sameAs Q5684591.
- Hawaiian_earring sameAs Q5684591.
- Hawaiian_earring wasDerivedFrom Hawaiian_earring?oldid=656626519.
- Hawaiian_earring depiction Hawaiian_Earrings.svg.
- Hawaiian_earring isPrimaryTopicOf Hawaiian_earring.