Sums of Hilbert cube factors

James Edward West

Vol. 54 (1974), No. 1, 293–303

DOI: 10.2140/pjm.1974.54.293

Abstract

Pursuing the properties of the class of Hilbert cube factors as a sub-class of the compact metric absolute retracts, it is established that the sum theorem for absolute retracts also holds for Hilbert cube factors, that is, a union of two Hilbert cube factors is itself a Hilbert cube factor if the intersection is one. Included is an observation due to T. A. Chapman that the analogous statement is also true for (a certain class of) compact Hilbert cube manifold factors.

Mathematical Subject Classification 2000

Primary: 57A20

Secondary: 54C55

Milestones

Received: 27 October 1972

Published: 1 September 1974