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APAL
2008
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13 years 5 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
CCA
2005
Springer
13 years 10 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