Insertion theorems for countably paracompact frames and stratifiable frames

Er-Guang Yang

doi:10.1016/j.topol.2021.107736

Insertion theorems for countably paracompact frames and stratifiable frames

Er-Guang Yang

https://doi.org/10.1016/j.topol.2021.107736

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Journal: Topology and its Applications	Publication Date: May 24, 2021
Citations: 1

Affiliation: Anhui University of Technology

#Stratifiable Spaces #Countably Paracompact Spaces + Show 5 more

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Abstract

The notion of localic real functions was introduced by Gutiérrez García et al. with which pointfree forms of insertion theorems for some classes of topological spaces were obtained. In this paper, we present insertion theorems for countably paracompact frames and stratifiable frames in terms of localic real functions, yielding the insertion theorems for countably paracompact spaces and stratifiable spaces while applied to the frame of open subsets of these spaces.

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