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On the existence of totally heterogeneous spaces

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The Collected Works of J. Richard Büchi

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Abstract

The main purpose of this note is to prove the existence of a set M of real numbers, which is heterogeneous in the sense that every Borel-function defined on a subset X of M into M is trivial. Some consequences and related facts are pointed out in notes at the end of the paper.

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Author information

Authors and Affiliations

  1. Ann Arbor, USA

    J. R. Büchi

Authors
  1. J. R. Büchi
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Chicago, Chicago, Illinois, 60637, USA

    Saunders Mac Lane

  2. Fachberich Informatik, Technische Universität Berlin, D-1000, Berlin 10, Germany

    Dirk Siefkes

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© 1990 Springer-Verlag New York Inc.

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Büchi, J.R. (1990). On the existence of totally heterogeneous spaces. In: Mac Lane, S., Siefkes, D. (eds) The Collected Works of J. Richard Büchi. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8928-6_9

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  • DOI: https://doi.org/10.1007/978-1-4613-8928-6_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8930-9

  • Online ISBN: 978-1-4613-8928-6

  • eBook Packages: Springer Book Archive

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