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math.AT2000★ 4 cited
Rational obstruction theory and rational homotopy sets
M. Arkowitz, G. Lupton
We develop an obstruction theory for homotopy of homomorphisms f,g : M -> N between minimal differential graded algebras. We assume that M = Lambda V has an obstruction decompositi…
math.AT2000
Variations on a conjecture of Halperin
G. Lupton
Halperin has conjectured that the Serre spectral sequence of any fibration that has fibre space a certain kind of elliptic space should collapse at the E_2-term. In this paper we o…
math.AT2000
Subgroups of the group of self-homotopy equivalences
M. Arkowitz, G. Lupton, A. Murillo
Denote by E(Y) the group of homotopy classes of self-homotopy equivalences of a finite-dimensional complex Y. We give a selection of results about certain subgroups of E(Y). We est…