The Steinhaus-Weil property:II. The Simmons-Mospan Converse

Bingham, N. H.; and Ostaszewski, AdamORCID logo (2022) The Steinhaus-Weil property:II. The Simmons-Mospan Converse. Sarajevo Journal of Mathematics, 17 (2). 179 - 186. ISSN 1840-0655
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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.

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