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Chaotic Orderings of the Rationals and Reals

✍ Scribed by Hayri Ardal, Tom Brown and Veselin Jungić

Book ID
115464992
Publisher
Mathematical Association of America
Year
2011
Tongue
English
Weight
221 KB
Volume
118
Category
Article
ISSN
0002-9890

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Let a finite partition F of the real interval (0, 1) be given. We show that if every member of F is measurable or if every member of F is a Baire set, then one member of F must contain a sequence with all of its finite sums and products (and, in the measurable case, all of its infinite sums as well)