Original Articles

Epimorphisms of metric frames

Published in: Quaestiones Mathematicae
Volume 31 , issue 3 , 2008 , pages: 241–253

DOI: 10.2989/QM.2008.31.3.6.548

Author(s): Bernhard Banaschewski , Aleš Pultr

Keywords: EPIMORPHISMS , EPICOMPLETE , EPISURJECTIVE , METRIC FRAMES , CONTRACTIONS

Abstract

This paper deals with several aspects of epimorphisms in the category MFrm of metric frames and contractive homomorphisms. In particular, it is shown that

the epicomplete metric frames are uniquely determined by the power-set lattices of sets,

ii.

episurjective is the same as Boolean,

iii.

a metric frame has an epicompletion iff it is spatial, and

iv.

the subcategory of epicomplete L in MFrm is reflective.

Moreover, we show that the counterpart of the latter does not hold for uniform frames.

« On a preliminary group classification of the nonlinear heat conduction equation

Level spaces for lattice-valued uniform convergence spaces »

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Original Articles

Epimorphisms of metric frames

Abstract

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