Title of article
An asymmetric characterization of the congruence frame
Author/Authors
Frith، نويسنده , , John and Schauerte، نويسنده , , Anneliese، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2011
Pages
6
From page
939
To page
944
Abstract
The functor from regular biframes to frames, taking first parts, is shown to be faithful. This result is used to provide many examples of identical embeddings which are epimorphisms in the category of frames. Then the congruence frame, regarded as a biframe, is characterized as being the unique regular biframe extension. This provides a pointfree analogue to a result of Salbany (1970, 1974 [16]) that the forgetful functor from completely regular bitopological spaces to all topological spaces, taking first parts, has a unique section.
Keywords
Skula functor , Strictly zero-dimensional , Regular biframe extension , Quasi-uniform frame , Pseudosection , frame , Congruence lattice , Regular biframe , Skula biframe
Journal title
Topology and its Applications
Serial Year
2011
Journal title
Topology and its Applications
Record number
1582861
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