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- W2341908678 abstract "Let / : X -* Y be a closed proper surjection whose Leray sheaves are locally constant through a given dimension k. Spectral sequences are used to analyze the cohomological connectivity and manifold properties of Y. Generally, when Y has dimension at most /c, it is a cohomology A -manifold over a given principal ideal domain R if and only if Hq(X, X — f~1y;R) is isomorphic to Hom.R(Hq~k(f~1y;R),R) for every y G Y and q < k. As a result, if X is an orientable (n + &)-manifold, each f~ιy has the shape of a closed, connected, orientable nmanifold, and Y is finite dimensional, then Y is a generalized /c-manifold. Euler characteristic relationships involving X, 1% and the typical fiber f~λy are derived in case the Leray sheaves of / are locally constant in all dimensions and the range has cohomologically finite type." @default.
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- W2341908678 date "1995-01-01" @default.
- W2341908678 modified "2023-09-24" @default.
- W2341908678 title "ON PROPER SURJECTIONS WITH LOCALLY TRIVIAL" @default.
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