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» The Ultrafilter Closure in ZF
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MLQ
2010
226views more  MLQ 2010»
13 years 3 months ago
The Ultrafilter Closure in ZF
: It is well known that, in a topological space, the open sets can be characterized using filter convergence. In ZF (Zermelo-Fraenkel set theory without the Axiom of Choice), we c...
Gonçalo Gutierres
MLQ
2000
99views more  MLQ 2000»
13 years 4 months ago
Von Rimscha's Transitivity Conditions
In Zermelo-Fraenkel set theory with the axiom of choice every set has the same cardinal number as some ordinal. Von Rimscha has weakened this condition to "Every set has the s...
Paul E. Howard, Jean E. Rubin, Adrienne Stanley