Bornologies and hyperspaces

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aut.researcherCao, Jiling
aut.target-audienceMathematicians, postgraduate students in mathematics
aut.venueThe University of Auckland
aut.venue-locationAuckland, New Zealand
dc.contributor.authorCao, J
dc.date.accessioned2012-03-29T00:07:46Z
dc.date.available2012-03-29T00:07:46Z
dc.date.copyright2011-12-06
dc.date.issued2011-12-06
dc.description.abstractA bornology on a nonempty set X is a family of subsets of X that is closed under taking finite unions, that is hereditary, and that forms a cover of X. Bornologies have been widely applied in functional analysis and topology to form the general framework in the theory of locally convex spaces and to provide an axiomatic approach to boundedness in topology. Recently, there has been renewed interest in bornologies in topology, mainly stemming from hyperspace theory. In this talk, I shall present some recent results of mine and others on hyperspaces generated by various bornologies. I shall also discuss some open problems in this direction.
dc.format.extent20 minutes
dc.identifier.citationNew Zealand Mathematical Society Colloquium, 6 – 8 December 2011 University of Auckland
dc.identifier.urihttps://hdl.handle.net/10292/3540
dc.publisherNew Zealand Mathematical Society
dc.relation.isreplacedby10292/4101
dc.relation.isreplacedbyhttp://hdl.handle.net/10292/4101
dc.relation.urihttp://nzmathsoc.org.nz/colloquium/home.php
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication.
dc.rights.accessrightsOpenAccess
dc.titleBornologies and hyperspaces
dc.typeConference Contribution
pubs.organisational-data/AUT
pubs.organisational-data/AUT/Design & Creative Technologies
pubs.organisational-data/AUT/Design & Creative Technologies/School of Computing & Mathematical Science
pubs.organisational-data/AUT/PBRF Researchers
pubs.organisational-data/AUT/PBRF Researchers/Design & Creative Technologies PBRF Researchers
pubs.organisational-data/AUT/PBRF Researchers/Design & Creative Technologies PBRF Researchers/DCT C & M Mathematical Science
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