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Asymptotic dimension, property A, and Lipschitz maps
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cencelj, Matija Dydak, Jerzy Vavpetič, Aleš |
| Copyright Year | 2009 |
| Abstract | It is well-known that a paracompact space X is of covering dimension n if and only if any map f:X→K from X to a simplicial complex K can be pushed into its n-skeleton K(n). We use the same idea to define dimension in the coarse category. It turns out the analog of maps f:X→K is related to asymptotically Lipschitz maps, the analog of paracompact spaces are spaces related to Yu’s Property A, and the dimension coincides with Gromov’s asymptotic dimension. |
| Starting Page | 561 |
| Ending Page | 571 |
| Page Count | 11 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s13163-012-0102-2 |
| Volume Number | 26 |
| Alternate Webpage(s) | http://arxiv.org/pdf/0909.4095v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s13163-012-0102-2 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
