The space of cross sections of a bundle
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- by Katsuro Sakai
- Proc. Amer. Math. Soc. 103 (1988), 956-960
- DOI: https://doi.org/10.1090/S0002-9939-1988-0947690-7
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Abstract:
Let $B$ be a nondiscrete compactum, $Y$ a separable complete metrizable ANR with no isolated point and $p:X \to B$ a locally trivial bundle with fiber $Y$ admitting a section. It is proved that the space $\Gamma (X)$ of all cross sections of $p:X \to B$ is an ${l_2}$-manifold.References
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Bibliographic Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 956-960
- MSC: Primary 57N20; Secondary 55R10
- DOI: https://doi.org/10.1090/S0002-9939-1988-0947690-7
- MathSciNet review: 947690