The -dimensionality of certain codimension- decompositions

Author:
R. J. Daverman

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

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Abstract | References | Similar Articles | Additional Information

Abstract: It is proved that if is a proper mapping of an -manifold onto a metric space such that each inverse set has the shape of a closed, connected, orientable -manifold, then is -dimensional.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1986-0813833-7

Keywords:
Cohomological dimension,
upper semicontinuous decomposition,
proper map,
codimension- manifold

Article copyright:
© Copyright 1986
American Mathematical Society