Generalized Cantor manifolds and indecomposable continua
General Topology
2012-04-16 v1
Abstract
We review results concerning homogeneous compacta and discuss some open questions. It is established that indecomposable continua are Alexandroff (resp., Mazurkiewicz, or strong Cantor) manifolds with respect to the class of all continua. We also provide some new proofs of Bing's theorems about separating metric compacta by hereditarily indecomposable compacta.
Keywords
Cite
@article{arxiv.1204.2873,
title = {Generalized Cantor manifolds and indecomposable continua},
author = {V. Todorov and V. Valov},
journal= {arXiv preprint arXiv:1204.2873},
year = {2012}
}
Comments
11 pages