Manifolds modelled on the direct limit of lines

Richard Elam Heisey

Vol. 102 (1982), No. 1, 47–54

DOI: 10.2140/pjm.1982.102.47

Abstract

The main theorem of this paper is that topological manifolds modelled on R^∞ = Rⁿ are stable. Combined with previous work this theorem enables us to embed R^∞-manifolds as open subsets of R^∞, classify R^∞-manifolds by homotopy type, and triangulate R^∞-manifolds.

The results established here were announced in the [8].

Mathematical Subject Classification 2000

Primary: 57N20

Secondary: 58B05

Milestones

Received: 15 June 1979

Revised: 9 February 1980

Published: 1 September 1982