Notions About Manifolds
An n dimensional manifold is a separable topological space, each point of which has a neighbourhood homeomorphic to an open n dimensional ball. Moreover we shall always suppose that this space admits a countable base of open sets, that is, there exist a countable sequence of open sets such that any open set may be expressed as a union of sets of the sequence.
KeywordsOrthogonal Projection Open Covering Measure Zero Dimensional Manifold Countable Union
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