{"id":{"repo_id":"cape-town","oai_identifier":"oai:open.uct.ac.za:11427/12535"},"canonical_url":"https://search.dev.ndltd.org/etd/cape-town/oai:open.uct.ac.za:11427/12535","repository":{"repo_id":"cape-town","name":"University of Cape Town","base_url":"https://open.uct.ac.za/oai/request"},"display":{"title":"Bisigma frames","abstract":"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.","abstract_html":"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.","abstract_has_math":false,"creators":["Matutu, P"],"institution":"Department of Mathematics and Applied Mathematics","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Gilmour, Christopher Robert Anderson","Brümmer, G C L"],"committee_chairs":[],"committee_members":[],"year":1999,"date_issued":"1999","date_published":"1999","updated_at":"2026-07-22T22:22:38Z","subjects":[],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11427/12535","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Gilmour, Christopher Robert Anderson","Brümmer, G C L"]},{"key":"dc:creator","label":"Author","values":["Matutu, P"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2015-02-24T04:13:07Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2015-02-24T04:13:07Z"]},{"key":"dc:date.issued","label":"Date","values":["1999"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Department of Mathematics and Applied Mathematics"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["University of Cape Town"]},{"key":"dc:type","label":"Dc Type","values":["Doctoral Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["Doctoral"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["DPhil"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/11427/12535"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Bibliography : 90-91."]},{"key":"dc:description.abstract","label":"Abstract","values":["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."]},{"key":"dc:title","label":"Title","values":["Bisigma frames"]}]}],"canonical_facts":{"dc:contributor.advisor":["Gilmour, Christopher Robert Anderson","Brümmer, G C L"],"dc:creator":["Matutu, P"],"dc:date.accessioned":["2015-02-24T04:13:07Z"],"dc:date.available":["2015-02-24T04:13:07Z"],"dc:date.issued":["1999"],"dc:description":["Bibliography : 90-91."],"dc:description.abstract":["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."],"dc:identifier.uri":["http://hdl.handle.net/11427/12535"],"dc:language.iso":["eng"],"dc:publisher.department":["Department of Mathematics and Applied Mathematics"],"dc:publisher.institution":["University of Cape Town"],"dc:title":["Bisigma frames"],"dc:type":["Doctoral Thesis"],"dc:type.qualificationlevel":["Doctoral"],"dc:type.qualificationname":["DPhil"]},"updated_at":"2026-07-22T22:22:38Z"}