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.
Gorde:
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| Beste egile batzuk: | , , |
| Formatua: | Artículo |
| Hizkuntza: | English |
| Argitaratua: |
2020
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| Gaiak: | |
| Sarrera elektronikoa: | https://link.springer.com/article/10.1007/s11083-020-09528-1 |
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