Stable maps into the Hilbert cube

Garity, Dennis J.; Rohm, Dale M.

doi:10.1090/S0002-9939-1988-0962840-4

Stable maps into the Hilbert cube
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by Dennis J. Garity and Dale M. Rohm PDF

Proc. Amer. Math. Soc. 104 (1988), 632-634 Request permission

Abstract:

A map into the Hilbert cube is stable if each composition with projection onto a finite number of factors is stable. We prove that a map from a compact metric space into the Hilbert cube is stable if and only if it is universal. As a consequence, the composition of a stable map with any self homeomorphism of the Hilbert cube is also stable.

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