Kuratowski embedding
id:
kuratowski-embedding-271-9961591
title:
Kuratowski embedding
text:
In mathematics, the Kuratowski embedding allows one to view any metric space as a subset of some Banach space. It is named after Kazimierz Kuratowski. The statement obviously holds for the empty space.
If (X,d) is a metric space, x0 is a point in X, and Cb(X) denotes the Banach space of all bounded continuous real-valued functions on X with the supremum norm, then the map defined by is an isometry. The above construction can be seen as embedding a pointed metric space into a Banach space. The Ku
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Kuratowski_embedding
date created:
date modified:
2024-03-19T07:50:35Z
main entity:
{"identifier":"Q3984015","url":"https://www.wikidata.org/entity/Q3984015"}
image:
fields total:
13
integrity:
13