A homology transfer for a class of simplicial mapsmanuscripta mathematica (1982)
AbstractWe construct a homology transfer τ*⋮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), xɛB, are quotient spaces of F, in a certain locally controlled manner. The composition p*τ*⋮ H*(B)→H*(E)→H*(B) is multiplication by the Euler characteristic of F.
Publication DateFebruary, 1982
Citation InformationG. Brumfiel and Richard P. Kubelka. "A homology transfer for a class of simplicial maps" manuscripta mathematica Vol. 38 Iss. 1 (1982)
Available at: http://works.bepress.com/richard_kubelka/5/