A local strong $UV^ \infty$-property of the homeomorphism groups of $R^ \infty$- ($Q^ \infty$-) manifolds
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- by Vo Thanh Liem PDF
- Proc. Amer. Math. Soc. 98 (1986), 145-149 Request permission
Abstract:
We will show in this note that if $M$ is an ${R^\infty }{\text { - (or }}{Q^\infty }{\text { - )}}$ manifold having the homotopy type of a finite complex, then the homeomorphism group of $M$, endowed with the compact-open topology, has the local strong $U{V^\infty }$-property with respect to the classes of pseudo CW complexes $\mathcal {C}\mathcal {W}(\mathcal {C})$ and $\mathcal {C}\mathcal {W}(\mathcal {M})$.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 98 (1986), 145-149
- MSC: Primary 57S05
- DOI: https://doi.org/10.1090/S0002-9939-1986-0848892-9
- MathSciNet review: 848892