38 citations · 202 across the 52 of their papers we have counts for
4 papers · 2 filters
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.
On the homotopy invariance of configuration spaces
Mokhtar Aouina, John R. Klein
For a closed PL manifold M, we consider the configuration space F(M,k) of ordered k-tuples of distinct points in M. We show that a suitable iterated suspension of F(M,k) is a homot…
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…
A chain rule in the calculus of homotopy functors
John R. Klein, John Rognes
We formulate and prove a chain rule for the derivative, in the sense of Goodwillie, of compositions of weak homotopy functors from simplicial sets to simplicial sets. The derivativ…