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.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 632-634
- MSC: Primary 57N20; Secondary 54F45, 54H25, 55M10
- DOI: https://doi.org/10.1090/S0002-9939-1988-0962840-4
- MathSciNet review: 962840