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JSYML
2002
96views more  JSYML 2002»
13 years 7 months ago
Definitions of Compactness and The Axiom of Choice
We study the relationships between definitions of compactness in topological spaces and the roll the axiom of choice plays in these relationships.
Omar de la Cruz, Eric J. Hall, Paul E. Howard, Jea...
MLQ
2008
133views more  MLQ 2008»
13 years 7 months ago
Unions and the axiom of choice
We study statements about countable and well ordered unions and how they are related to each other and to countable and well ordered forms of the axiom of choice.
Omar de la Cruz, Eric J. Hall, Paul E. Howard, Kyr...
CIE
2008
Springer
13 years 9 months ago
The Relative Consistency of the Axiom of Choice - Mechanized Using Isabelle/ZF
The proof of the relative consistency of the axiom of choice has been mechanized using Isabelle/ZF, building on a previous mechanization of the reflection theorem. The heavy relia...
Lawrence C. Paulson