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Martin's Axiom and some classical constructions

Published online by Cambridge University Press:  17 April 2009

T.G. McLaughlin
T.G. McLaughlin
Affiliation:
Department of Mathematics, Texas Tech University, Lubbock, Texas, USA.
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Abstract

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We display the relevance of Martin's Axiom to suitable forms of some long-known results in classical measure and category theory (for example, outer-measure-preserving partitions of sets of positive outer measure). While our theorems are at best fragmentarily new, the proofs are very simple, and, we think, instructive as regards the force of the axiom.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 12 , Issue 3 , June 1975 , pp. 351 - 362
Copyright
Copyright © Australian Mathematical Society 1975

References

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