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- Injective_metric_space abstract "In metric geometry, an injective metric space, or equivalently a hyperconvex metric space, is a metric space with certain properties generalizing those of the real line and of L∞ distances in higher-dimensional vector spaces. These properties can be defined in two seemingly different ways: hyperconvexity involves the intersection properties of closed balls in the space, while injectivity involves the isometric embeddings of the space into larger spaces. However it is a theorem of Aronszajn and Panitchpakdi (1956; see e.g. Chepoi 1997) that these two different types of definitions are equivalent.".
- Injective_metric_space wikiPageExternalLink Es-Kh.pdf.
- Injective_metric_space wikiPageExternalLink 1103043960.
- Injective_metric_space wikiPageID "7840768".
- Injective_metric_space wikiPageLength "6080".
- Injective_metric_space wikiPageOutDegree "33".
- Injective_metric_space wikiPageRevisionID "609929259".
- Injective_metric_space wikiPageWikiLink Advances_in_Applied_Mathematics.
- Injective_metric_space wikiPageWikiLink Ball_(mathematics).
- Injective_metric_space wikiPageWikiLink Category:Metric_geometry.
- Injective_metric_space wikiPageWikiLink Category_(mathematics).
- Injective_metric_space wikiPageWikiLink Category_of_metric_spaces.
- Injective_metric_space wikiPageWikiLink Chebyshev_distance.
- Injective_metric_space wikiPageWikiLink Circumradius.
- Injective_metric_space wikiPageWikiLink Circumscribed_circle.
- Injective_metric_space wikiPageWikiLink Commentarii_Mathematici_Helvetici.
- Injective_metric_space wikiPageWikiLink Complete_metric_space.
- Injective_metric_space wikiPageWikiLink Complete_space.
- Injective_metric_space wikiPageWikiLink Convex_metric.
- Injective_metric_space wikiPageWikiLink Convex_metric_space.
- Injective_metric_space wikiPageWikiLink Diameter.
- Injective_metric_space wikiPageWikiLink Fixed-point_theorem.
- Injective_metric_space wikiPageWikiLink Helly_family.
- Injective_metric_space wikiPageWikiLink Identity_function.
- Injective_metric_space wikiPageWikiLink Injective_object.
- Injective_metric_space wikiPageWikiLink Isometry.
- Injective_metric_space wikiPageWikiLink Jungs_theorem.
- Injective_metric_space wikiPageWikiLink Lp_space.
- Injective_metric_space wikiPageWikiLink Metric_geometry.
- Injective_metric_space wikiPageWikiLink Metric_map.
- Injective_metric_space wikiPageWikiLink Metric_space.
- Injective_metric_space wikiPageWikiLink Metric_space_aimed_at_its_subspace.
- Injective_metric_space wikiPageWikiLink Nonexpansive_mapping.
- Injective_metric_space wikiPageWikiLink Pacific_Journal_of_Mathematics.
- Injective_metric_space wikiPageWikiLink Proceedings_of_the_American_Mathematical_Society.
- Injective_metric_space wikiPageWikiLink Real_tree.
- Injective_metric_space wikiPageWikiLink Retract_(metric_geometry).
- Injective_metric_space wikiPageWikiLink Short_map.
- Injective_metric_space wikiPageWikiLink Taxicab_geometry.
- Injective_metric_space wikiPageWikiLink Tight_span.
- Injective_metric_space wikiPageWikiLink Vector_space.
- Injective_metric_space wikiPageWikiLinkText "Injective metric space".
- Injective_metric_space wikiPageWikiLinkText "injective metric space".
- Injective_metric_space wikiPageWikiLinkText "injective metric".
- Injective_metric_space wikiPageWikiLinkText "injective".
- Injective_metric_space hasPhotoCollection Injective_metric_space.
- Injective_metric_space wikiPageUsesTemplate Template:Cite_conference.
- Injective_metric_space wikiPageUsesTemplate Template:Cite_journal.
- Injective_metric_space wikiPageUsesTemplate Template:MR.
- Injective_metric_space subject Category:Metric_geometry.
- Injective_metric_space hypernym Space.
- Injective_metric_space comment "In metric geometry, an injective metric space, or equivalently a hyperconvex metric space, is a metric space with certain properties generalizing those of the real line and of L∞ distances in higher-dimensional vector spaces. These properties can be defined in two seemingly different ways: hyperconvexity involves the intersection properties of closed balls in the space, while injectivity involves the isometric embeddings of the space into larger spaces.".
- Injective_metric_space label "Injective metric space".
- Injective_metric_space sameAs m.026fww8.
- Injective_metric_space sameAs Q6034319.
- Injective_metric_space sameAs Q6034319.
- Injective_metric_space wasDerivedFrom Injective_metric_space?oldid=609929259.
- Injective_metric_space isPrimaryTopicOf Injective_metric_space.