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Weakly pointed trees and partial injections

Published online by Cambridge University Press:  12 March 2014

John D. Clemens
John D. Clemens*
Affiliation:
Department of Mathematics, Penn State University, University Park, PA 16802, USA, E-mail: clemens@math.psu.edu
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Abstract

We define the notion of a weakly pointed tree, and characterize the amount of genericity necessary to prevent a uniformly branching tree being weakly pointed. We use these ideas to show there is no topological analogue of a measure-theoretic selection theorem of Graf and Mauldin.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 73 , Issue 1 , March 2008 , pp. 363 - 368
Copyright
Copyright © Association for Symbolic Logic 2008

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References

REFERENCES

[1]Graf, S. and Mauldin, R. D., Measurable one-to-one selectors and transition kernels, American Journal of Mathematics, vol. 107 (1985), no. 2, pp. 407–425.CrossRefGoogle Scholar