David A. Edwards, Harold M. Hastings
Abstract
Open-access reader
We prove that every weak proper homotopy equivalence of $\sigma$-compact, locally compact Hausdorff spaces is weakly properly homotopic to a proper homotopy equivalence.
OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
We prove that every weak proper homotopy equivalence of $\sigma$-compact, locally compact Hausdorff spaces is weakly properly homotopic to a proper homotopy equivalence.
Key concepts: Mathematics, Homotopy, Equivalence (formal languages), Whitehead theorem, Pure mathematics, Weak equivalence, Regular homotopy, n-connected