Embedding 2-complexes in R⁴

Marko Kranjc

Vol. 133 (1988), No. 2, 301–313

DOI: 10.2140/pjm.1988.133.301

Abstract

Using Freedman’s results it is not very hard to see that every finite acyclic 2-complex embeds in R⁴ tamely. In the present paper a relative version of this fact is proved. We also study when a finite acyclic 2-complex with one extra 2-cell attached along its boundary can be tamely embedded in R⁴.

Mathematical Subject Classification 2000

Primary: 57N13

Secondary: 57N35, 57Q35

Milestones

Received: 9 December 1986

Revised: 5 October 1987

Published: 1 June 1988