Mean operation
id:
mean-operation-248-12748356
title:
Mean operation
text:
In algebraic topology, a mean or mean operation on a topological space X is a continuous, commutative, idempotent binary operation on X. If the operation is also associative, it defines a semilattice. A classic problem is to determine which spaces admit a mean. For example, Euclidean spaces admit a mean -- the usual average of two vectors -- but spheres of positive dimension do not, including the circle.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Mean_operation
date created:
date modified:
2024-04-04T10:10:26Z
main entity:
{"identifier":"Q25099523","url":"https://www.wikidata.org/entity/Q25099523"}
image:
fields total:
13
integrity:
13