Difference between revisions of "Manifold"
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| − | [[Image:MobiusStrip-01.png|right | + | [[Image:MobiusStrip-01.png|right|The [[Möbius strip]] is an example of a 2-manifold.]] |
An '''n'''-dimensional manifold (or '''n'''-manifold) M is a [[topological space]] such that every point in M has a neighbourhood that is [[homeomorphism|homeomorphic]] to '''R'''<sup>''n''</sup>. | An '''n'''-dimensional manifold (or '''n'''-manifold) M is a [[topological space]] such that every point in M has a neighbourhood that is [[homeomorphism|homeomorphic]] to '''R'''<sup>''n''</sup>. | ||
[[Category:Mathematics]] | [[Category:Mathematics]] | ||
Revision as of 02:30, March 31, 2007
An n-dimensional manifold (or n-manifold) M is a topological space such that every point in M has a neighbourhood that is homeomorphic to Rn.