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80
Voted
APAL
2008
93views more  APAL 2008»
14 years 11 months ago
Arithmetic of Dedekind cuts of ordered Abelian groups
We study Dedekind cuts on ordered Abelian groups. We introduce a monoid structure on them, and we characterise, via a suitable representation theorem, the universal part of the th...
Antongiulio Fornasiero, Marcello Mamino
78
Voted
CCA
2005
Springer
15 years 4 months ago
The Dedekind Reals in Abstract Stone Duality
kind Reals in Abstract Stone Duality Andrej Bauer and Paul Taylor 3 June 2009 Stone Duality (ASD) is a direct axiomatisation of general topology, in contrast to the traditional an...
Andrej Bauer, Paul Taylor 0002