Property $C$ and fine homotopy equivalences
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- by Jan van Mill and Jerzy Mogilski PDF
- Proc. Amer. Math. Soc. 90 (1984), 118-120 Request permission
Abstract:
We show that within the class of metric $\sigma$-compact spaces, proper fine homotopy equivalences preserve property $C$, which is a slight generalization of countable dimensionality. We also give an example of an open fine homotopy equivalence of a countable dimensional space onto a space containing the Hilbert cube.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 90 (1984), 118-120
- MSC: Primary 54F45; Secondary 55P10
- DOI: https://doi.org/10.1090/S0002-9939-1984-0722429-5
- MathSciNet review: 722429