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math.AT2008
A note on localizations of mapping spaces
Bernard Badzioch, Wojciech Dorabiala
We show that if A is a simply connected, finite, pointed CW-complex then the mapping spaces Map(A, -) are preserved by the localization functors only if A has the rational homotopy…
math.AT2007★ 1 cited
Smooth parametrized torsion -- a manifold approach
Bernard Badzioch, Wojciech Dorabiala, Bruce Williams
We give a construction of a torsion invariant of bundles of smooth manifolds which is based on the work of Dwyer, Weiss and Williams on smooth structures on fibrations.