Abstract
This article discusses the conjecture that roughly speaking, any set A of positive measure is close to a convex set of positive measure, in the sense that such a convex set could be obtained from A using a bounded number of operations. We formulate the conjecture in Gaussian space, and a more special (but more fundamental) version in the set of sequences of zeroes and ones.
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References
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© 1995 Birkhäuser Verlag Basel/Switzerland
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Talagrand, M. (1995). Are All Sets of Positive Measure Essentially Convex?. In: Lindenstrauss, J., Milman, V. (eds) Geometric Aspects of Functional Analysis. Operator Theory Advances and Applications, vol 77. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9090-8_25
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DOI: https://doi.org/10.1007/978-3-0348-9090-8_25
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9902-4
Online ISBN: 978-3-0348-9090-8
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