38 citations · 202 across the 52 of their papers we have counts for
56 papers
A note on the second James-Hopf invariant
John R. Klein
This paper characterizes the stabilized second James-Hopf invariant by means of three axioms. Specifically, we show that it is the unique natural transformation satisfying the Cart…
A relative Euclidean thickening
John R. Klein
For a finite CW pair , we show how to construct a Poincaré triad and a weak homotopy equivalence $(K,L) \overset{{}_\sim}\to (P,\partial_0 P)…
On the stable Hopf invariant
John R. Klein
We provide a simplified approach to the the stable Hopf invariant. We provide short elementary proofs of the Cartan Formula, the Composition Formula, and the Transfer formula. In a…
Embedding, compression, and the relative Hopf invariant
John R. Klein
We establish Poincaré embedding results in the relative setting, generalizing previously known results in the absolute case. Our primary motivation comes from applications to non-s…
On Poincaré Surgery
John R. Klein
We exhibit a homotopy theoretic proof of the Fundamental Theorem of Poincaré surgery in the simply connected case. We also deduce the Poincaré transversality exact sequence.
On embeddings and acyclic maps
John R. Klein
Given an acyclic map of closed manifolds dimension , we study the relationship between the embeddings of in with those of in when . T…