Year: 2025
Type: preprint
Abstract: In this paper we continue to study various types of closures in $S(n)$-spaces. The main results are related to the construction and illustration of examples that allow us to understand the relationship between $S(n)$-closed, $S(n)$-$θ$-closed, weakly $S(n)$-closed and weakly $S(n)$-$θ$-closed spaces for each $n\in \mathbb{N}$. The relation of these classes in Lindelöf spaces is shown. Some of the solved problems formulated by D. Dikranjan and E. Giuli are presented in the examples.
Source: arXiv (Cornell University)
Author: Osipov, Alexander V.
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6979334572
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