Vol. 79, No. 2, 1978

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A characterizaton of R2 by the concept of mild convexity

Sjur Flam

Vol. 79 (1978), No. 2, 371–373
Abstract

Let S be an open, connected set in a locally convex, Hausdorff topological vector space L. If the boundary of S contains exactly one point not a mild convexity point of S and this point is not isolated in bd S, then dimL = 2.

Mathematical Subject Classification 2000
Primary: 52A05
Milestones
Received: 24 January 1978
Revised: 18 April 1978
Published: 1 December 1978
Authors
Sjur Flam