Abstract
Definition. A locally Euclidean space X of dimension n is a Hausdorff topological space such that, for each x ∈ X, there exists a homeomorphism φx mapping some open set containing x onto an open set in Rn.
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© 1967 I. M. Singer and John A. Thorpe
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Singer, I.M., Thorpe, J.A. (1967). Manifolds. In: Lecture Notes on Elementary Topology and Geometry. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-7347-0_5
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DOI: https://doi.org/10.1007/978-1-4615-7347-0_5
Publisher Name: Springer, New York, NY
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