A homology transfer for a class of simplicial maps |
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Authors: | G Brumfiel R Kubelka |
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Institution: | (1) Department of Mathematics, Stanford University, 94305 Stanford, CA;(2) Department of Mathematics, The University of Oklahoma, 73019 Norman, OK |
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Abstract: | We construct a homology transfer * H*(B) H*(E) for a certain class of proper simplicial maps p E B. Roughly, the important hypothesis is that there is a compact space F, so that all fibres Fx>=p–1(x), x B, are quotient spaces of F, in a certain locally controlled manner. The composition p* * H*(B) H*(E) H*(B) is multiplication by the Euler characteristic of F. |
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