David A. Edwards, Harold M. Hastings
Abstract
We prove that every weak proper homotopy equivalence of σ \sigma -compact, locally compact Hausdorff spaces is weakly properly homotopic to a proper homotopy equivalence.
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We prove that every weak proper homotopy equivalence of σ \sigma -compact, locally compact Hausdorff spaces is weakly properly homotopic to a proper homotopy equivalence.
Key concepts: Mathematics, Homotopy, Equivalence (formal languages), Homotopy category, Weak equivalence, Sigma, Pure mathematics, Hausdorff distance