The Whitney embedding theorem
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...
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Umeå universitet, Institutionen för matematik och matematisk statistik
2014
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| Online Access: | http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-91352 |
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ndltd-UPSALLA1-oai-DiVA.org-umu-913522015-06-10T04:48:33ZThe Whitney embedding theoremengPersson, MiltonUmeå universitet, Institutionen för matematik och matematisk statistik2014A 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. Student thesisinfo:eu-repo/semantics/bachelorThesistexthttp://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-91352application/pdfinfo:eu-repo/semantics/openAccess |
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NDLTD |
| language |
English |
| format |
Others
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| sources |
NDLTD |
| description |
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. |
| author |
Persson, Milton |
| spellingShingle |
Persson, Milton The Whitney embedding theorem |
| author_facet |
Persson, Milton |
| author_sort |
Persson, Milton |
| title |
The Whitney embedding theorem |
| title_short |
The Whitney embedding theorem |
| title_full |
The Whitney embedding theorem |
| title_fullStr |
The Whitney embedding theorem |
| title_full_unstemmed |
The Whitney embedding theorem |
| title_sort |
whitney embedding theorem |
| publisher |
Umeå universitet, Institutionen för matematik och matematisk statistik |
| publishDate |
2014 |
| url |
http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-91352 |
| work_keys_str_mv |
AT perssonmilton thewhitneyembeddingtheorem AT perssonmilton whitneyembeddingtheorem |
| _version_ |
1716805188745953280 |