Difference between revisions of "Manifold"
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Revision as of 07:51, 6 April 2008
A manifold is a topological space locally homeomorphic to an open ball in some Euclidean space. The Whitney embedding theorem allows us to visualise manifolds as being 'embedded' in some Euclidean space.
Definition
A Topological space 
is said to be a Manifold if and only if
(i) is Hausdorff
(ii) is second-countable, i.e. it has a countable base.
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