Abstract

Finite dimensional techniques of Bing and Bryant are extended to Hilbert cube manifolds to show that M A × Q = M where M is a Hilbert cube manifold, A is an embedded copy of 1 k, 0 \\ ̌ k \\ ̌ ∞, and Q is the Hilbert cube. Among the corollaries given here are elementary proofs of two theorems of West: the mapping cylinder theorem and the sum theorem for Hilbert cube factors.

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