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» On Point-finiteness in Pointfree Topology
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ACS
2007
13 years 6 months ago
On Point-finiteness in Pointfree Topology
: In pointfree topology, the point-finite covers introduced by Dowker and Strauss do not behave similarly to their classical counterparts with respect to transitive quasi-uniformi...
Maria João Ferreira, Jorge Picado
ACS
2007
13 years 6 months ago
Choiceless, Pointless, but not Useless: Dualities for Preframes
We provide the appropriate common ‘(pre)framework’ for various central results of domain theory and topology, like the Lawson duality of continuous domains, the Hofmann–Lawso...
Marcel Erné
APAL
2007
111views more  APAL 2007»
13 years 6 months ago
A coverage construction of the reals and the irrationals
I modify the standard coverage construction of the reals to obtain the irrationals. However, this causes a jump in ordinal complexity from ω + 1 to Ω. The coverage technique ha...
Harold Simmons