4 papers
Outer authomorphisms and the Jacobian
Kiyoshi Igusa, John Klein, E. Bruce Williams
A graphs of rank n (homotopy equivalent to a wedge of n circles) without ``separating edges'' has a canonical n-dimensional compact C^1 manifold thickening. This implies that the c…
On C.T.C. Wall's suspension theorem
Mokhtar Aouina, John R. Klein
Almost forty years ago, C.T.C. Wall systematically analyzed the set of "thickenings" of a finite CW complex. Of the results he obtained, probably the most computationally important…
On embeddings in the sphere
John R. Klein
We consider embeddings of a finite complex in a sphere. We give a homotopy theoretic classification of such embeddings in a wide range.
Fiber products, Poincare duality and A_\infty-ring spectra
John R. Klein
For a Poincare duality space X and a map X -> B, consider the homotopy fiber product X x^B X. If X is orientable with respect to a multiplicative cohomology theory E, then, after s…