A theorem on the accessibility of boundary parts of an open point set

Eberhard Hopf

Type: Article

Publication Date: 1950-01-01

Citations: 6

DOI: https://doi.org/10.1090/s0002-9939-1950-0033019-1

Abstract

eberhard hopfLet fl be a bounded open set in ordinary w-space.Denote by p a point of that space.A closed subset of the boundary of A is called accessible from within fl if fl contains a semi-open Jordan curve p{t), 0^f< », whose points of accumulation, for t-><», precisely constitute that boundary part.In this note we prove the following theorem.

Locations

Proceedings of the American Mathematical Society - View - PDF

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