On nominal sets with support-preorder
Each nominal set 𝑋 can be equipped with a preorder relation ⪯ defined by the notion of support, so-called support-preorder. This preorder also leads us to the support topology on each nominal set. We study support-preordered nominal sets and some of their categorical properties in this paper. We als...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Shahid Beheshti University
2022-07-01
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| Series: | Categories and General Algebraic Structures with Applications |
| Subjects: | |
| Online Access: | https://cgasa.sbu.ac.ir/article_102623_81d5fc73f55777aac4d773bc2d38fde1.pdf |
| Summary: | Each nominal set 𝑋 can be equipped with a preorder relation ⪯ defined by the notion of support, so-called support-preorder. This preorder also leads us to the support topology on each nominal set. We study support-preordered nominal sets and some of their categorical properties in this paper. We also examine the topological properties of support topology, in particular separation axioms. |
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| ISSN: | 2345-5853 2345-5861 |