COMPACTIFICATIONS OF THE RAY WITH THE ARC AS REMAINDER ADMIT NO N-MEAN

Authors
AWARTANI MM HENDERSON DW
Citation
Mm. Awartani et Dw. Henderson, COMPACTIFICATIONS OF THE RAY WITH THE ARC AS REMAINDER ADMIT NO N-MEAN, Proceedings of the American Mathematical Society, 123(10), 1995, pp. 3213-3217
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
123
Issue
10
Year of publication
1995
Pages
3213 - 3217
Database
ISI
SICI code
0002-9939(1995)123:10<3213:COTRWT>2.0.ZU;2-J
Abstract
An n-mean on X is a function F :X(n) --> X which is idempotent and sym metric. In 1970 P. Bacon proved that the sin(1/x) continuum admits no 2-mean. In this paper, it is proved that if X is any metric space whic h contains an open line one of whose boundary components in X is an ar e, then X admits no n-mean, n greater than or equal to 2.