Lower and upper regularizations of frame semicontinuous real functions

As discovered recently, Li andWang's 1997 treatment of semicontinuity for frames does not faithfully re ect the classical concept. In this paper we continue our study of semicontinuity in the pointfree setting. We de ne the pointfree concepts of lower and upper regularizations of frame semicont...

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Bibliographic Details
Main Author: Gutiérrez García, Javier (author)
Other Authors: Kubiak, Tomasz (author), Picado, Jorge (author)
Format: other
Language:eng
Published: 2007
Subjects:
Frame, locale
sublocale
Frame of reals
Lower and upper frames of reals
Frame semicontinuous real function
Lower and upper semicontinuous real functions
Lower and upper regularizations
Extremal disconnectedness
Insertion theorem
Extension theorem
Online Access:http://hdl.handle.net/10316/11293
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/11293

Internet

http://hdl.handle.net/10316/11293

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