Hilbert manifold: Difference between revisions
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==Definition== | ==Definition== | ||
A '''Hilbert manifold''' is a [[topological space]] where every point has a neighbourhood homeomorphic to a Hilbert space. | A '''Hilbert manifold''' is a [[topological space]] where every point has a neighbourhood homeomorphic to a particular Hilbert space. | ||
We say that the Hilbert manifold is ''modelled'' on the given Hilbert space. | |||
==Related notions== | ==Related notions== | ||
Latest revision as of 19:46, 18 May 2008
This is a variation of manifold
Definition
A Hilbert manifold is a topological space where every point has a neighbourhood homeomorphic to a particular Hilbert space. We say that the Hilbert manifold is modelled on the given Hilbert space.