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math.AT2005
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…
math.AT2003
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.
math.AT2003
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…