Embedding a 2-complex K in ℝ⁴ when H²(K) is a cyclic group

Marko Kranjc

Vol. 150 (1991), No. 2, 329–339

DOI: 10.2140/pjm.1991.150.329

Abstract

We prove that every finite 2-dimensional cell complex with cyclic second cohomology embeds in ℝ⁴ tamely.

Mathematical Subject Classification 2000

Primary: 57N35

Secondary: 57N45, 57Q35

Milestones

Received: 26 January 1990

Revised: 15 July 1990

Published: 1 October 1991