Adjacency relations induced by some Alexandroff topologies on Zn
Let (X, T) be an Alexandroff space. We define the adjacency relation ART on X induced by T as the irreflexive relation defined for x ≠ y in X by: (x, y) ∈ ART if and only if x ∈ S NT (y) or y ∈ S NT (x), where S NT (z) is the smallest open set containing z in (X, T) and z ∈ {x, y}. Two families of...
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| Format: | Article |
| Language: | English |
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American Institute of Mathematical Sciences
2022
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| Online Access: | View Fulltext in Publisher |