✦ LIBER ✦

A metric characterization of a simple closed curve

✍ Scribed by L.D. Loveland

Publisher: Elsevier Science
Year: 1976
Weight: 585 KB
Volume: 6
Category: Article
ISSN: 0016-660X
DOI: 10.1016/0016-660x(76)90020-9

No coin nor oath required. For personal study only.

✦ Synopsis

The midset M(a, b) of two points a and 6 in 2; metric space X is the set of all points equidistant from a and b, and X has the double midset property ifM(a, b) Insists of two points for every choice of a and b in X. The conjecture that a continu.

with the double midset property is a simple closed CUW~: is estabbshed under the ad snal hylpothesis that the lidset function is continuous. 1 AMS Subj. Class.:

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