Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
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.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, Volume 20, Number 4 (2010) ; kliknij tutaj, żeby przejść
Biblioteka Uniwersytetu Zielonogórskiego
2024-11-05
2018-08-16
136
https://zbc.uz.zgora.pl/publication/54982
Nazwa wydania | Data |
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Ultra regular covering space and its automorphism group | 2024-11-05 |
Florea, Corneliu Florea, Laura Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Tabędzki, Marek Saeed, Khalid Szczepański, Adam Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Tadeusiewicz, Ryszard (1947- ) Ogiela, Marek R. Szczepaniak, Piotr S. Korbicz, Józef (1951- ) - ed.
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.