Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9517009 | Topology and its Applications | 2005 | 15 Pages |
Abstract
We construct a family {Ys:sâS} of cardinality 2âµ0 of hereditarily indecomposable continua which are: (a) n-dimensional Cantor manifolds, for any given natural number n, or (b) hereditarily strongly infinite-dimensional Cantor manifolds, or else (c) countable-dimensional continua of every given transfinite inductive dimension, small or large, such that if h:YsâYsâ² is an embedding then s=sâ² and h is the identity.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Elżbieta Pol,