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Colocatedness and Lebesgue Integrability

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Computation and Logic in the Real World (CiE 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4497))

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Abstract

With reference to Mandelkern’s characterisation of colocated subsets of the line in constructive analysis, we introduce the notion of “strongly colocated set” and find conditions under which such a set is Lebesgue integrable.

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References

  1. Aczel, P., Rathjen, M.: Notes on Constructive Set Theory, Report No. 40, Institut Mittag-Leffler, Royal Swedish Academy of Sciences (2001)

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Author information

Authors and Affiliations

  1. Department of Mathematics & Statistics, University of Canterbury, Private Bag 4800 Christchurch, New Zealand

    Douglas S. Bridges

Authors
  1. Douglas S. Bridges
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Editor information

Editors and Affiliations

  1. Dept. of Pure Mathematics, University of Leeds, LS2 9JT, Leeds, UK

    S. Barry Cooper

  2. Institue for Logic, Language and Computation (ILLC), Universiteit van Amsterdam, Plantage Muidergracht 24, 1018, TV Amsterdam, The Netherlands

    Benedikt Löwe

  3. Dipartimento di Scienze Matematiche ed Informatiche “R. Magari”, University of Siena, 53100, Siena, Italy

    Andrea Sorbi

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Bridges, D.S. (2007). Colocatedness and Lebesgue Integrability. In: Cooper, S.B., Löwe, B., Sorbi, A. (eds) Computation and Logic in the Real World. CiE 2007. Lecture Notes in Computer Science, vol 4497. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73001-9_10

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  • DOI: https://doi.org/10.1007/978-3-540-73001-9_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73000-2

  • Online ISBN: 978-3-540-73001-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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