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- W2009383992 abstract "A relationship is established between the homological codimension of the point inverses of a map and the dimension of its image. An infinite-dimensional version leads to the conclusion that the image of a proper map defined on Hilbert space cannot be countable dimensional. A finite-dimensional version yields: if $g:{M^n} to Y$ is a proper map, ${M^n}$ is a $G$-orientable $n$-manifold without boundary, and $dim Y leqslant k$, then there is a point $y in Y$ and an integer $i geqslant n - k$ such that $check {H}^i (g^{-1}(y);G) ne 0$." @default.
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- W2009383992 date "1982-01-01" @default.
- W2009383992 modified "2023-09-24" @default.
- W2009383992 title "Homological embedding properties of the fibers of a map and the dimension of its image" @default.
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- W2009383992 doi "https://doi.org/10.1090/s0002-9939-1982-0647912-0" @default.
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