Original Articles

Bounded quotients of frames

Published in: Quaestiones Mathematicae
Volume 28 , issue 1 , 2005 , pages: 55–72

DOI: 10.2989/16073600509486115

Author(s): Themba Dube

Keywords: FRAME , BOUNDED , ALMOST BOUNDED , H-QUOTIENT , ALMOST COMPACT

Abstract

We define various notions of boundedness in frames along the lines of similar concepts for subspaces and give characterizations of these in terms of filters. In particular we study in depth the frame-theoretic analogue of subspaces that are known in the literature as almost bounded or H-bounded.

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