Constant and variable drop theorems on metrizable locally convex spaces
Constructing means on certain continua and functional equations.
Constructing means on certain continua and functional equations. (Short Communication).
Construction functors for topological semigroups.
Construction of a Hurewicz metric space whose square is not a Hurewicz space
Constructive dimension theory
Containing spaces for planar rational compacta [Book]
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...