Contractibility of the digital $n$-space
| Autor: | Sayaka Hamada |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Applied General Topology, Vol 16, Iss 1, Pp 15-17 (2015) |
| Druh dokumentu: | article |
| ISSN: | 1576-9402 1989-4147 |
| DOI: | 10.4995/agt.2015.1826 |
| Popis: | The aim of this paper is to prove a known fact that the digital line is cotractible. Hence we have that the digital space $({\bf Z}^{n}, \kappa^{n})$ is also cotractible where $({\bf Z}^{n}, \kappa^{n})$ is $n$ products of the digital line $({\bf Z}, \kappa)$. This is a fundamental property of homotopy theory. |
| Databáze: | Directory of Open Access Journals |
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