Quasi dimension type. II. Types in 1-dimensional spaces
Quasi dimension type. II. Types in 1-dimensional spaces
In this paper we consider the partial ordering induced on 1-dimensional continua by quasi dimension type.For example, we show that the pseudo-arc precedes every snake-like continuum in this partial ordering.We also obtain sufficient conditions in terms of quasi dimension type for the embedding of Peano continua in the plane.Finally, necessary …