A note on uncountably many disks

Abstract

Euclidean three dimensional space) does not contain uncountably many mutually disjoint wild 2spheres. J. R. Stallings has given an example It is the goal of this note to show that E 3 does not contain uncountably many mutually disjoint disks each of which fails to lie on a 2-sphere in E'\ (A disk which fails to lie on a 2-sphere is necessarily wild.) For definitions the reader is referred to [1],