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Full reflection at a measurable cardinal

Published online by Cambridge University Press:  12 March 2014

Thomas Jech  and
Jiří Witzany
Thomas Jech
Affiliation:
Department of Mathematics, The Pennsylvania State University, University Park, Pennsylvania 16802, E-mail: jech@math.psu.edu
Jiří Witzany
Affiliation:
Department of Mathematics, The Pennsylvania State University, University Park, Pennsylvania 16802, E-mail: witzany@math.psu.edu
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Abstract

A stationary subset S of a regular uncountable cardinal κreflects fully at regular cardinals if for every stationary set T ⊆ κ of higher order consisting of regular cardinals there exists an α Є T such that S ∩ α is a stationary subset of α. Full Reflection states that every stationary set reflects fully at regular cardinals. We will prove that under a slightly weaker assumption than κ having the Mitchell order κ ++ it is consistent that Full Reflection holds at every λ ≤ κ and κ is measurable.

Keywords

Primary 03E3503E55.Stationary setsfull reflectionmeasurable cardinalsrepeat points

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 59 , Issue 2 , June 1994 , pp. 615 - 630
Copyright
Copyright © Association for Symbolic Logic 1994

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