Year: 2026
Type: preprint
Abstract: Recently, in the study of topological properties in Domain theory, the first countable spaces and Frechet-Urysohn spaces receive close attention and are frequently employed. In this paper, we focus on sequential spaces weaker than Frechet-Urysohn spaces. The main results are: (1) For a well-filtered space X, the Scott topology and the upper vietoris topology on K(X) coincide if PS(X) is a sequential space; (2) every ω-well-filtered coherent d- space X is sober when the procuct of X is a sequential space.
Source: arXiv (Cornell University)
Author: He, Zhengmao
Institution: Southwest Petroleum University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G1728208532
OpenAlex ID: W7214181912