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- Q6034319 subject Q7413945.
- Q6034319 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.".
- Q6034319 wikiPageExternalLink Es-Kh.pdf.
- Q6034319 wikiPageExternalLink 1103043960.
- Q6034319 wikiPageWikiLink Q1075398.
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- Q6034319 wikiPageWikiLink Q7413945.
- Q6034319 wikiPageWikiLink Q7801637.
- Q6034319 wikiPageWikiLink Q838611.
- Q6034319 wikiPageWikiLink Q848569.
- Q6034319 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.".
- Q6034319 label "Injective metric space".