Bisigma frames

Bisigma frames

Bibliography : 90-91. === We introduce and investigate the concept of a bi σ-frame. The cozero part of a biframe, itself a bi σ-frame, is defined and used to construct the compact regular, and regular Lindelöf coreflections for biframes. Pseudocompactness for biframes is defined in a natural way and...

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Bibliographic Details
Main Author: Matutu, P
Other Authors: Gilmour, Christopher Robert Anderson
Format: Doctoral Thesis
Language:English
Published: University of Cape Town 2015
Subjects:
Mathematics
Online Access:http://hdl.handle.net/11427/12535
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spelling ndltd-netd.ac.za-oai-union.ndltd.org-uct-oai-localhost-11427-125352020-07-22T05:07:28Z Bisigma frames Matutu, P Gilmour, Christopher Robert Anderson Brümmer, G C L Mathematics Bibliography : 90-91. We introduce and investigate the concept of a bi σ-frame. The cozero part of a biframe, itself a bi σ-frame, is defined and used to construct the compact regular, and regular Lindelöf coreflections for biframes. Pseudocompactness for biframes is defined in a natural way and characterised in terms of the cozero part. Finally we obtain the σ-frame analogue of the result that characterises the stably continuous frames in terms of the compact regular biframes. 2015-02-24T04:13:07Z 2015-02-24T04:13:07Z 1999 Doctoral Thesis Doctoral DPhil http://hdl.handle.net/11427/12535 eng application/pdf University of Cape Town Faculty of Science Department of Mathematics and Applied Mathematics
collection NDLTD
language English
format Doctoral Thesis
sources NDLTD
topic Mathematics
spellingShingle Mathematics
Matutu, P
Bisigma frames
description Bibliography : 90-91. === We introduce and investigate the concept of a bi σ-frame. The cozero part of a biframe, itself a bi σ-frame, is defined and used to construct the compact regular, and regular Lindelöf coreflections for biframes. Pseudocompactness for biframes is defined in a natural way and characterised in terms of the cozero part. Finally we obtain the σ-frame analogue of the result that characterises the stably continuous frames in terms of the compact regular biframes.
author2 Gilmour, Christopher Robert Anderson
author_facet Gilmour, Christopher Robert Anderson
Matutu, P
author Matutu, P
author_sort Matutu, P
title Bisigma frames
title_short Bisigma frames
title_full Bisigma frames
title_fullStr Bisigma frames
title_full_unstemmed Bisigma frames
title_sort bisigma frames
publisher University of Cape Town
publishDate 2015
url http://hdl.handle.net/11427/12535
work_keys_str_mv AT matutup bisigmaframes
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