Generalized Cantor manifolds and indecomposable continua

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.

11 pages

References in corpus (3)

• Remarks on hereditarily indecomposable continua
• On hereditarily indecomposable compacta and factorization of maps
• Generalized Cantor manifolds and homogeneity

Cited by in corpus (1)

• Alexandroff type manifolds and homology manifolds