The Frame of Nuclei on an Alexandroff Space
Let O be the frame of open sets of a topological space S, and let (O ) be the frame of nuclei on O . For an Alexandroff space S, we prove that (O ) is spatial iff the infinite binary tree 2 does not embed isomorphically into (S,≤), where ≤ is the specialization preorder of S.
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| Main Author: | |
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| Other Authors: | , , |
| Format: | Artículo |
| Language: | English |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://link.springer.com/article/10.1007/s11083-020-09528-1 |
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