An average distance result in Euclidean n-space

Author:

Strantzen John

Abstract

The following result has been established by Stadje and Gross:THEOREM. If 〈X, d〉 is a compact connected metric space, then there is a unique positive real number a(〈X, d〉) with the property that for each natural number n, and for all {x1, x2, …, xn} ⊂ X, there exists yX for which

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference8 articles.

1. A property of compact connected spaces

2. On the spherical surface of smallest radius enclosing a bounded subset of 𝑛-dimensional euclidean space

3. A game with squared distance as payoff;Wilson;Bull. Austral. Math. Soc.

4. On the average distance property of compact connected metric spaces;Morris;Arch. Math.

5. Average distances in compact connected spaces

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