Constructive irrational space.
Containing spaces for planar rational compacta [Book]
Contents
Contents
Contents
Contents
Contents
Continua and their non-separating subcontinua [Book]
Continua and their open subsets with connected complements
Continua determined by mappings.
Continua which a one-to-one continuous image of [0,∞)
Continua which admit no mean
A symmetric, idempotent, continuous binary operation on a space is called a mean. In this paper, we provide a criterion for the non-existence of mean on a certain class of continua which includes tree-like continua. This generalizes a result of Bell and Watson. We also prove that any hereditarily indecomposable circle-like continuum admits no mean.
Continua which cannot be mapped onto any nonplaner circle-like continuum
Continua whose connected subsets are arcwise connected
Continua whose hyperspace is a product
Continua whose local homeomorphisms are homeomorphisms
Continua with a connected set of points of indecomposability
Continua with countable number of arc-components
Continua with the periodic-recurrent property.
Continua with unique symmetric product
Let be a metric continuum. Let denote the hyperspace of nonempty subsets of with at most elements. We say that the continuum has unique hyperspace provided that the following implication holds: if is a continuum and is homeomorphic to , then is homeomorphic to . In this paper we prove the following results: (1) if is an indecomposable continuum such that each nondegenerate proper subcontinuum of is an arc, then has unique hyperspace , and (2) let be an arcwise connected...