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Groups of θ-generalized homeomorphisms and the digital line

✍ Scribed by Julian Dontchev; Haruo Maki

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
142 KB
Volume
95
Category
Article
ISSN
0166-8641

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✦ Synopsis

We establish the connection between two fields of Topology that until now seemed to be far away from each other, namely digital topology and the theory of generalized closed sets. In this paper we study θ-generalized homeomorphisms, their groups and some allied concepts applied to digital topology.

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The Group of L-Fuzzy Homeomorphisms and
The Group of L-Fuzzy Homeomorphisms and the Group of Permutations of the Ground Set
✍ T.P. Johnson 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 70 KB

In this paper we study some relations between the group of L-fuzzy homeomorphisms of an L-fuzzy topological space X and the group of permutations of the ground set X. In contrast with the results in general topology, it is proved that the subgroups generated by cycles and proper normal subgroups can