Vol. 42, No. 2, 1972

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A property of manifolds compactly equivalent to compact manifolds

R. J. Tondra

Vol. 42 (1972), No. 2, 539–541
Abstract

In this paper it is shown that there is a countable collection 𝒢 = {Gk}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 Gα(M) ∈𝒢.

Mathematical Subject Classification
Primary: 57A15
Milestones
Received: 5 April 1971
Revised: 18 June 1971
Published: 1 August 1972
Authors
R. J. Tondra