Academic Journal
Continuous Well-Composedness Implies Digital Well-Composedness in n-D
| العنوان: | Continuous Well-Composedness Implies Digital Well-Composedness in n-D |
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| المؤلفون: | Boutry, Nicolas, Gonzalez-Diaz, Rocio, Najman, Laurent, Géraud, Thierry |
| المساهمون: | Laboratoire de Recherche et de Développement de l'EPITA (LRDE), Ecole Pour l'Informatique et les Techniques Avancées (EPITA), Universidad de Sevilla = University of Seville |
| المصدر: | ISSN: 0924-9907. |
| بيانات النشر: | HAL CCSD Springer Verlag |
| سنة النشر: | 2022 |
| المجموعة: | Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
| مصطلحات موضوعية: | well-composed, topological manifolds, critical configurations, digital topology, local homology, [MATH.MATH-GN]Mathematics [math]/General Topology [math.GN], [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], [MATH.MATH-AT]Mathematics [math]/Algebraic Topology [math.AT] |
| الوصف: | International audience ; In this paper, we prove that when a n-D cubical set is continuously well-composed (CWC), that is, when the boundary of its continuous analog is a topological (n − 1)-manifold, then it is digitally wellcomposed (DWC), which means that it does not contain any critical configuration. We prove this result thanks to local homology. This paper is the sequel of a previous paper where we proved that DWCness does not imply CWCness in 4D. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | hal-03575456; https://hal.science/hal-03575456; https://hal.science/hal-03575456/document; https://hal.science/hal-03575456/file/boutry.22.jmiv.pdf |
| DOI: | 10.1007/s10851-021-01058-8 |
| الاتاحة: | https://hal.science/hal-03575456 https://hal.science/hal-03575456/document https://hal.science/hal-03575456/file/boutry.22.jmiv.pdf https://doi.org/10.1007/s10851-021-01058-8 |
| Rights: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.FF8B40D |
| قاعدة البيانات: | BASE |
| DOI: | 10.1007/s10851-021-01058-8 |
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