Francisco Ávila, Guram Bezhanishvili, Patrick Morandi, Angel Zaldívar
Published 2019-06-09Version 1
Let $\mathcal{O}S$ be the frame of open sets of a topological space $S$, and let $N(\mathcal{O}S)$ be the frame of nuclei of $\mathcal{O}S$. For an Alexandroff space $S$, we prove that $N(\mathcal{O}S)$ is spatial iff the infinite binary tree $\mathscr T_2$ does not embed isomorphically into $(S, \le)$, where $\le$ is the specialization preorder of $S$.
$*-$open sets and $*-$ continuity in topological spaces
A new compact class of open sets under Hausdorff distance and shape optimization
Towards a Unified Framework for Bioperations on $e^\star$-Open Sets in Topological Spaces
![QR code for arXiv:1906.03640 [math.GN]](http://oss.arxitics.com/images/favicon.svg)