Repozytorium Uniwersytetu Zielonogórskiego udostępnia 9 345 obiektów cyfrowych
Obiekt
Tytuł: Ultra regular covering space and its automorphism group
Contributor:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Group publication title:
Abstract:
In order to classify digital spaces in terms of digital-homotopic theoretical tools, a recent paper by Han (2006b) (see also the works of Boxer and Karaca (2008) as well as Han (2007b)) established the notion of regular covering space from the viewpoint of digital covering theory and studied an automorphism group (or Deck?s discrete transformation group) of a digital covering ; By using these tools, we can calculate digital fundamental groups of some digital spaces and classify digital covering spaces satisfying a radius 2 local isomorphism (Boxer and Karaca, 2008; Han, 2006b; 2008b; 2008d; 2009b). However, for a digital covering which does not satisfy a radius 2 local isomorphism, the study of a digital fundamental group of a digital space and its automorphism group remains open ; In order to examine this problem, the present paper establishes the notion of an ultra regular covering space, studies its various properties and calculates an automorphism group of the ultra regular covering space. In particular, the paper develops the notion of compatible adjacency of a digital wedge. By comparing an ultra regular covering space with a regular covering space, we can propose strong merits of the former.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, Volume 20, Number 4 (2010) ; kliknij tutaj, żeby przejść
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Kolekcje, do których przypisany jest obiekt:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2010)
Data ostatniej modyfikacji:
14 lip 2025
Data dodania obiektu:
16 sie 2018
Liczba wyświetleń treści obiektu:
258
Wszystkie dostępne wersje tego obiektu:
https://zbc.uz.zgora.pl/repozytorium/publication/54982
Wyświetl opis w formacie RDF:
Wyświetl opis w formacie OAI-PMH:
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 20, number 1 (2010)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 20, number 2 (2010)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 20, number 3 (2010)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 20, number 4 (2010)
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
| Nazwa wydania | Data |
|---|---|
| Ultra regular covering space and its automorphism group | 14 lip 2025 |
Obiekty Podobne
Florea, Corneliu Florea, Laura Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Tadeusiewicz, Ryszard (1947- ) Ogiela, Marek R. Szczepaniak, Piotr S. Korbicz, Józef (1951- ) - ed.
Tabędzki, Marek Saeed, Khalid Szczepański, Adam Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Ahamad, Mohd Sanusi S. Maizul, Elly Nur Myaisara Kuczyński, Tadeusz - red.
Frankovský, Peter Virgala, Ivan Hudák, P. Kostka, Ján Jurczak, Paweł - red.
Saeed, Khalid Tabędzki, Marek Rybnik, Mariusz Adamski, Marcin Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
