Kuiper's theorem
id:
kuiper-s-theorem-302-8376356
title:
Kuiper's theorem
text:
In mathematics, Kuiper's theorem (after Nicolaas Kuiper) is a result on the topology of operators on an infinite-dimensional, complex Hilbert space H. It states that the space GL(H) of invertible bounded endomorphisms of H is such that all maps from any finite complex Y to GL(H) are homotopic to a constant, for the norm topology on operators. A significant corollary, also referred to as Kuiper's theorem, is that this group is weakly contractible, ie. all its homotopy groups are trivial. This res
brand slug:
wiki
category slug:
encyclopedia
description:
Result on the topology of operators on an infinite-dimensional, complex Hilbert space
original url:
https://en.wikipedia.org/wiki/Kuiper%27s_theorem
date created:
date modified:
2024-04-06T01:42:59Z
main entity:
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image:
fields total:
13
integrity:
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