Abstract
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.
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© 1984 Springer-Verlag Berlin Heidelberg
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de Rham, G. (1984). Notions About Manifolds. In: Differentiable Manifolds. Grundlehren der mathematischen Wissenschaften, vol 266. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61752-2_2
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DOI: https://doi.org/10.1007/978-3-642-61752-2_2
Publisher Name: Springer, Berlin, Heidelberg
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