CAT(k) space
id:
cat-k-space-314-10763802
title:
CAT(k) space
text:
In mathematics, a CAT space, where k is a real number, is a specific type of metric space. Intuitively, triangles in a CAT space are "slimmer" than corresponding "model triangles" in a standard space of constant curvature k . In a CAT space, the curvature is bounded from above by k . A notable special case is k = 0 ; complete CAT spaces are known as "Hadamard spaces" after the French mathematician Jacques Hadamard. Originally, Aleksandrov called these spaces “ R k domains”.
The terminology
brand slug:
wiki
category slug:
encyclopedia
description:
Type of metric space in mathematics
original url:
https://en.wikipedia.org/wiki/CAT(k)_space
date created:
date modified:
2024-01-31T01:22:32Z
main entity:
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image:
fields total:
13
integrity:
14