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4 papers · 2 filters
Poincare duality and Periodicity, II. James Periodicity
John R. Klein, William Richter
Let K be a connected finite complex. This paper studies the problem of whether one can attach a cell to some iterated suspension S^j K so that the resulting space satisfies Poincar…
Continuous trace C*-algebras, gauge groups and rationalization
John R. Klein, Claude L. Schochet, Samuel B. Smith
Let ζbe an n-dimensional complex matrix bundle over a compact metric space X and let A_ζdenote the C*-algebra of sections of this bundle. We determine the rational homotopy type as…
Homotopical Intersection Theory, II: equivariance
John R. Klein, Bruce Williams
This is the second in a series of papers. Here we develop here an intersection theory for manifolds equipped with an action of a finite group. As in our previous paper, our approac…
Multiple disjunction for spaces of Poincare embeddings
Thomas G. Goodwillie, John R. Klein
We obtain multirelative connectivity statements about spaces of Poincare embeddings, as precursors to analogous statements about spaces of smooth embeddings. The latter are the key…