Contractibility of the digital $n$-space
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 homo...
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| Format: | Article |
| Language: | English |
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Universitat Politècnica de València
2015-01-01
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| Series: | Applied General Topology |
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| Online Access: | http://polipapers.upv.es/index.php/AGT/article/view/1826 |
| _version_ | 1818955627711430656 |
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| author | Sayaka Hamada |
| author_facet | Sayaka Hamada |
| author_sort | Sayaka Hamada |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-20T10:41:04Z |
| format | Article |
| id | doaj.art-582056a7e440454d98368bd60bc2d380 |
| institution | Directory Open Access Journal |
| issn | 1576-9402 1989-4147 |
| language | English |
| last_indexed | 2024-12-20T10:41:04Z |
| publishDate | 2015-01-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj.art-582056a7e440454d98368bd60bc2d3802022-12-21T19:43:32ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472015-01-01161151710.4995/agt.2015.18262820Contractibility of the digital $n$-spaceSayaka Hamada0National Institute of TechnologyThe 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.http://polipapers.upv.es/index.php/AGT/article/view/1826Khalimsky topologydigital $n$-spacecontractiblehomotopy. |
| spellingShingle | Sayaka Hamada Contractibility of the digital $n$-space Applied General Topology Khalimsky topology digital $n$-space contractible homotopy. |
| title | Contractibility of the digital $n$-space |
| title_full | Contractibility of the digital $n$-space |
| title_fullStr | Contractibility of the digital $n$-space |
| title_full_unstemmed | Contractibility of the digital $n$-space |
| title_short | Contractibility of the digital $n$-space |
| title_sort | contractibility of the digital n space |
| topic | Khalimsky topology digital $n$-space contractible homotopy. |
| url | http://polipapers.upv.es/index.php/AGT/article/view/1826 |
| work_keys_str_mv | AT sayakahamada contractibilityofthedigitalnspace |