Back to Search Start Over

A construction of the assembly of a frame.

Authors :
Ball, Richard N.
Source :
QM - Quaestiones Mathematicae; Oct2024, Vol. 47 Issue 10, p2023-2033, 11p
Publication Year :
2024

Abstract

We offer here a particularly simple and direct construction of the congruence frame of a given frame, aka its assembly, from the bounded meet semilattice of differences of frame elements. The construction enables economical proofs of two of the assembly's known attributes, namely ultranormality and ultraparacompactness, as well as a proof that the assembly is an essential extension of the frame with the same essential closure as the frame. The major new result is that the assembly is free over its meet semilattice of differences. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16073606
Volume :
47
Issue :
10
Database :
Complementary Index
Journal :
QM - Quaestiones Mathematicae
Publication Type :
Academic Journal
Accession number :
179769699
Full Text :
https://doi.org/10.2989/16073606.2024.2349902