The $3$-dimensionality of certain codimension-$3$ decompositions
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- by R. J. Daverman
- Proc. Amer. Math. Soc. 96 (1986), 175-179
- DOI: https://doi.org/10.1090/S0002-9939-1986-0813833-7
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Abstract:
It is proved that if $p$ is a proper mapping of an $(n + 3)$-manifold $M$ onto a metric space $B$ such that each inverse set ${p^{ - 1}}b$ has the shape of a closed, connected, orientable $n$-manifold, then $B$ is $3$-dimensional.References
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Bibliographic Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 96 (1986), 175-179
- MSC: Primary 54B15; Secondary 54C56, 54F45, 55M10, 57N15
- DOI: https://doi.org/10.1090/S0002-9939-1986-0813833-7
- MathSciNet review: 813833