Rings of real functions in Pointfree Topology

This paper deals with the algebra F(L) of real functions of a frame L and its subclasses LSC(L) and USC(L) of, respectively, lower and upper semicontinuous real functions. It is well-known that F(L) is a lattice-ordered ring; this paper presents explicit formulas for its algebraic operations which a...

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Bibliographic Details
Main Author: Gutiérrez García, Javier (author)
Other Authors: Picado, Jorge (author)
Format: other
Language:eng
Published: 2010
Subjects:
Frame
Locale
Sublocale
Frame of reals
Scale
Frame real function
Continuous real function
Lower semicontinuous
Upper semicontinuous
Lattice-ordered ring
Ring of continuous functions in pointfree topology
Strict insertion
Online Access:http://hdl.handle.net/10316/13708
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/13708

Internet

http://hdl.handle.net/10316/13708

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