Vol. 98, No. 2, 1982

Recent Issues
Vol. 323: 1
Vol. 322: 1  2
Vol. 321: 1  2
Vol. 320: 1  2
Vol. 319: 1  2
Vol. 318: 1  2
Vol. 317: 1  2
Vol. 316: 1  2
Online Archive
The Journal
Editorial Board
Submission Guidelines
Submission Form
Policies for Authors
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
Other MSP Journals
Barycentric simplicial subdivision of infinite-dimensional simplexes and octahedra

Thomas E. Armstrong

Vol. 98 (1982), No. 2, 251–270

A K-simplex is a convex set affinely homeomorphic to the positive face of the unit ball of a Kakutani L-space and an octahedron is a convex set affinely homeomorphic to the entire unit ball. It is shown how to barycentrically subdivide K-simplexes and octahedra so that the K-simplexes in the subdivision are affinely homeomorphic to the simplexes of probability measures on closed subsets of (0,) with the weak topology. As a consequence, for any closed subset C of (0,), an apparently new complete metric for the weak topology on 1+(C) is given.

Mathematical Subject Classification 2000
Primary: 46A55
Secondary: 46E30, 52A07
Received: 5 August 1980
Revised: 11 February 1981
Published: 1 February 1982
Thomas E. Armstrong