Sets which can be missed by side approximations to spheres

James W. Cannon

Vol. 34 (1970), No. 2, 321–334

DOI: 10.2140/pjm.1970.34.321

Abstract

In this paper it is proved that a 2-sphere S in E^a can be side approximated from IntS so as to miss a closed subset X of S if and only if (S ∪ IntS) − X is I-ULC.

Mathematical Subject Classification

Primary: 54.78

Milestones

Received: 30 September 1969

Revised: 5 December 1969

Published: 1 August 1970