activity
20002005
most citedRationalized Evaluation Subgroups of a Map and the Rationalized G-Sequence

2 citations · 3 across the 7 of their papers we have counts for

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Showing 2000Show all

3 papers · 1 filter

math.AT2000

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…