Year: 2015
Type: preprint
Abstract: We consider the intersection map on the family of non-empty $ω$-Scott-open sets of the lattice of opens of a topological space. We prove that in a certain class of topological spaces the intersection map forms a continuous retraction onto the space of countably compact subsets of the space equipped with (the sequentialisation of) the upper Vietoris topology. This class consists of all sequential spaces which are sequentially Hausdorff.
Source: arXiv (Cornell University)
Author: Schröder, Matthias
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1503776314