506 citations
- Virginia TechUS9 papers
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4 papers · 2 filters
Evaluation Maps in Rational Homotopy
Yves Felix, Gregory Lupton
Let E be an H-space acting on a based space X. Then we refer to ev: E -> X, the map obtained by acting on the base point of X, as a ``generalized evaluation map." We establish seve…
Homotopy Actions, Cyclic Maps and their Duals
Martin Arkowitz, Gregory Lupton
An action of A on X is a map F: AxX to X such that F|_X = id: X to X. The restriction F|_A: A to X of an action is called a cyclic map. Special cases of these notions include group…
Banach Algebras and Rational Homotopy Theory
Gregory Lupton, N. Christopher Phillips, Claude L. Schochet +1
Let be a unital commutative Banach algebra with maximal ideal space We determine the rational H-type of the group of invertible n by n matrices with coefficient…
A model category for local po-spaces
Peter Bubenik, Krzysztof Worytkiewicz
Locally partial-ordered spaces (local po-spaces) have been used to model concurrent systems. We provide equivalences for these spaces by constructing a model category containing th…