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The Whitney embedding theorem
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2014 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

A fundamental theorem in differential geometry is proven in this essay. It is the embedding theorem due to Hassler Whitney, which shows that the ever so general and useful topological spaces called manifolds, can all be regarded as subspaces of some Euclidean space. The version of the proof given in this essay is very similar to the original from 1944. Modern definitions are used, however, and many illustrations have been made, wherever it helps the understanding.

Place, publisher, year, edition, pages
2014. , 47 p.
National Category
Mathematical Analysis
URN: urn:nbn:se:umu:diva-91352OAI: diva2:735867
Available from: 2014-09-30 Created: 2014-08-02 Last updated: 2015-06-09Bibliographically approved

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