A property of manifolds compactly equivalent to compact manifolds

R. J. Tondra

Vol. 42 (1972), No. 2, 539–541

DOI: 10.2140/pjm.1972.42.539

Abstract

In this paper it is shown that there is a countable collection 𝒢 = {G_k}_k=1^∞ of connected n-manifolds such that any manifold M which is compactly equivalent to a compact manifold is an open monotone union of some G_α(M) ∈𝒢.

Mathematical Subject Classification

Primary: 57A15

Milestones

Received: 5 April 1971

Revised: 18 June 1971

Published: 1 August 1972