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A Solution to a Problem of Eilenberg Concerning Dimension Lowering Mappings
| Content Provider | Scilit |
|---|---|
| Author | Keesling, James Wilson, David C. |
| Copyright Year | 1982 |
| Description | This paper describes a map from a metric space (having the same dimension at each of its points) onto a space such that \dim Y > 0$"> with the property that for every closed set contained in . This answers a question posed by Eilenberg in 1936 in The Scottish Book. This question was answered with a more complicated example by Rubin, Schori, and Walsh. |
| Related Links | https://www.ams.org/proc/1982-086-01/S0002-9939-1982-0663888-4/S0002-9939-1982-0663888-4.pdf |
| Ending Page | 162 |
| Page Count | 4 |
| Starting Page | 159 |
| ISSN | 00029939 |
| e-ISSN | 10886826 |
| DOI | 10.2307/2044418 |
| Journal | Proceedings of the American Mathematical Society |
| Issue Number | 1 |
| Volume Number | 86 |
| Language | English |
| Publisher | Duke University Press |
| Access Restriction | Open |
| Subject Keyword | History and Philosophy of Science Lowering Mappings Eilenberg Concerning Dimension Lowering Concerning Dimension Problem |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |