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Arc components in locally compact groups are Borel sets

Published online by Cambridge University Press:  17 April 2009

Karl Heinrich Hofmann
Karl Heinrich Hofmann
Affiliation:
Fachbereich Mathematik, Technische Universität Darmstadt, Schlossgartenstr. 7, D-64289 Darmstadt, Germany e-mail: hofmann@mathematik.tu-darmstadt.de
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Abstract

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Are the arc components in a locally compact group Borel subsets? An affirmative answer is provide for locally compact groups satisfying the First Axiom of Count-ability. For general locally compact groups the question is reduced to compact connected Abelian groups. In certain models of set theory the answer is negative.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 65 , Issue 1 , February 2002 , pp. 1 - 8
Copyright
Copyright © Australian Mathematical Society 2002

References

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