Vol. 54, No. 1, 1974

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Sums of Hilbert cube factors

James Edward West

Vol. 54 (1974), No. 1, 293–303

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
Received: 27 October 1972
Published: 1 September 1974
James Edward West