The Steinhaus-Weil property:II. The Simmons-Mospan Converse
Bingham, N. H.; and Ostaszewski, Adam
(2022)
The Steinhaus-Weil property:II. The Simmons-Mospan Converse.
Sarajevo Journal of Mathematics, 17 (2).
179 - 186.
ISSN 1840-0655
In this second part of a four-part series (with Parts I, III, IV referring to [BinO4,5,6]), we develop (via Propositions 1, 2 and Theorems 1, 2) a number of relatives of the Simmons-Mospan theorem, a converse to the Steinhaus-Weil theorem (for another, see [BinO1], and for yet others [BinO3, ß8.5]). In Part III [BinO5, Theorems 1, 2], we link this with topologies of Weil type.
| Item Type | Article |
|---|---|
| Keywords | Steinhaus-Weil property,Amenability at 1,Measure subcontinuity,Simmons-Mospan theorem,Weil topology,Interior-points property,Haar measure,Lebesgue decomposition,Left Haar null,Selective measure,Cameron-Martin space |
| Departments | Mathematics |
| DOI | 10.5644/SJM.16.02.04 |
| Date Deposited | 13 Jul 2020 09:06 |
| URI | https://researchonline.lse.ac.uk/id/eprint/105616 |
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ORCID: https://orcid.org/0000-0003-2630-8663