paper

On Isbell's Density Theorem for bitopological pointfree spaces I

arXiv:2501.16536 · doi:10.1016/j.topol.2019.106962

Abstract

This paper addresses dense sub-objects for point-free bitopology in terms of -frames and provides several examples. We characterize extremal epimorphisms in -frames and show that a smallest dense one always exists, establishing a proper analogue of Isbell's Density Theorem for -frames. Further we explore certain questions about the functoriality of assigning the smallest dense sub-object to each pointfree bitopological space.

20 pages

On Isbell's Density Theorem for bitopological pointfree spaces I · wovepaper