A mapping theorem for infinite-dimensional manifolds and its generalizations
Katsuro Sakai (1988)
Colloquium Mathematicae
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Displaying similar documents to “The Definition of Topological Manifolds”
A mapping theorem for infinite-dimensional manifolds and its generalizations
On the topological characterization of manifolds
de Groot, J.
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A mapping theorem for topological sigma-compact manifolds
Ricardo Berlanga (1987)
Compositio Mathematica
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A note on topological properties of non-Hausdorff manifolds.
Kent, Steven L., Mimna, Roy A., Tartir, Jamal K. (2009)
International Journal of Mathematics and Mathematical Sciences
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Alexandroff One Point Compactification
Czesław Byliński (2007)
Formalized Mathematics
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In the article, I introduce the notions of the compactification of topological spaces and the Alexandroff one point compactification. Some properties of the locally compact spaces and one point compactification are proved.
Planes and Spheres as Topological Manifolds. Stereographic Projection
Marco Riccardi (2012)
Formalized Mathematics
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The goal of this article is to show some examples of topological manifolds: planes and spheres in Euclidean space. In doing it, the article introduces the stereographic projection [25].
Topological Manifolds
Karol Pąk (2014)
Formalized Mathematics
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Let us recall that a topological space M is a topological manifold if M is second-countable Hausdorff and locally Euclidean, i.e. each point has a neighborhood that is homeomorphic to an open ball of E n for some n. However, if we would like to consider a topological manifold with a boundary, we have to extend this definition. Therefore, we introduce here the concept of a locally Euclidean space that covers both cases (with and without a boundary), i.e. where each point has a neighborhood...
An embedding theorem of infinite-dimensional manifold pairs in the model space
Katsuro Sakai (1978)
Fundamenta Mathematicae
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