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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Bibliografski detalji
Glavni autor: Ávila Álvarez, Francisco
Daljnji autori: Bezhanishvili, Guram, Morandi, Patrick, Zaldívar Corichi, Luis Ángel
Format: Artículo
Jezik:English
Izdano: 2020
Teme:
Online pristup:https://link.springer.com/article/10.1007/s11083-020-09528-1
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