Miller, Harry I., Miller-Van Wieren, Leila and Ostaszewski, Adam (2020) Beyond Erdős-Kunen-Mauldin: Shift-compactness properties and Singular sets. Topology and its Applications. ISSN 0166-8641 (In Press)
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Abstract
The Kestelman-Borwein-Ditor Theorem asserts that a non-negligible subset of R which is Baire (= has the Baire property, BP) or measurable is shift-compact: it contains some subsequence of any null sequence to within translation by an element of the set. Here effective proofs are recognized to yield (i) analogous category and Haar-measure metrizable generalizations for Baire groups and locally compact groups respectively, and (ii) permit under V = L construction of co-analytic shift-compact subsets of R with singular properties, e.g. being concentrated on Q, the rationals.
Item Type: | Article |
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Official URL: | https://www.sciencedirect.com/journal/topology-and... |
Additional Information: | © 2020 Elsevier B.V. |
Divisions: | Mathematics |
Subjects: | R Medicine > R Medicine (General) |
Date Deposited: | 05 Nov 2020 15:21 |
Last Modified: | 21 Dec 2020 00:26 |
URI: | http://eprints.lse.ac.uk/id/eprint/107144 |
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