Generalized Normal Product Adjacency in Digital Topology
We study properties of Cartesian products of digital images for which adjacencies based on the normal product adjacency are used. We show that the use of such adjacencies lets us obtain many "product properties" for which the analogous statement is either unknown or invalid if, instead, we...
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Universitat Politècnica de València
2017-10-01
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| Series: | Applied General Topology |
| Subjects: | |
| Online Access: | https://polipapers.upv.es/index.php/AGT/article/view/7798 |
| _version_ | 1818307516969254912 |
|---|---|
| author | Laurence Boxer |
| author_facet | Laurence Boxer |
| author_sort | Laurence Boxer |
| collection | DOAJ |
| description | We study properties of Cartesian products of digital images for which
adjacencies based on the normal product adjacency are used. We show
that the use of such adjacencies lets us obtain many "product properties"
for which the analogous statement is either unknown or invalid if, instead,
we were to use c_u-adjacencies. |
| first_indexed | 2024-12-13T06:59:38Z |
| format | Article |
| id | doaj.art-ad026153ba1549a684baa78828fe0848 |
| institution | Directory Open Access Journal |
| issn | 1576-9402 1989-4147 |
| language | English |
| last_indexed | 2024-12-13T06:59:38Z |
| publishDate | 2017-10-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj.art-ad026153ba1549a684baa78828fe08482022-12-21T23:55:59ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472017-10-0118240142710.4995/agt.2017.77986099Generalized Normal Product Adjacency in Digital TopologyLaurence Boxer0Niagara University, USAWe study properties of Cartesian products of digital images for which adjacencies based on the normal product adjacency are used. We show that the use of such adjacencies lets us obtain many "product properties" for which the analogous statement is either unknown or invalid if, instead, we were to use c_u-adjacencies.https://polipapers.upv.es/index.php/AGT/article/view/7798digital topologydigital imagecontinuous multivalued functionshy mapretraction. |
| spellingShingle | Laurence Boxer Generalized Normal Product Adjacency in Digital Topology Applied General Topology digital topology digital image continuous multivalued function shy map retraction. |
| title | Generalized Normal Product Adjacency in Digital Topology |
| title_full | Generalized Normal Product Adjacency in Digital Topology |
| title_fullStr | Generalized Normal Product Adjacency in Digital Topology |
| title_full_unstemmed | Generalized Normal Product Adjacency in Digital Topology |
| title_short | Generalized Normal Product Adjacency in Digital Topology |
| title_sort | generalized normal product adjacency in digital topology |
| topic | digital topology digital image continuous multivalued function shy map retraction. |
| url | https://polipapers.upv.es/index.php/AGT/article/view/7798 |
| work_keys_str_mv | AT laurenceboxer generalizednormalproductadjacencyindigitaltopology |