A characterization of hereditarily decomposable snake-like continua
A characterization of locally connectedness by means of the set function T
A characterization of unicoherence in terms of separating open sets
A counter-example on unicoherent Peano spaces
Association and fixed points
Circularity of graphs and continua: topology
Concerning closed quasi-orders on hereditarily unicoherent continua
Concerning decompositions of continua
Concerning unicoherence of continua
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 with the periodic-recurrent property.
Continuous mappings on continua II [Book]
C-separated sets and unicoherence
Four mapping problems of Maćkowiak
In his paper "Continuous mappings on continua" [5], T. Maćkowiak collected results concerning mappings on metric continua. These results are theorems, counterexamples, and unsolved problems and are listed in a series of tables at the ends of chapters. It is the purpose of the present paper to provide solutions (three proofs and one example) to four of those problems.
Irreducibility of inverse limits on intervals
A procedure for obtaining points of irreducibility for an inverse limit on intervals is developed. In connection with this, the following are included. A semiatriodic continuum is defined to be a continuum that contains no triod with interior. Characterizations of semiatriodic and unicoherent continua are given, as well as necessary and sufficient conditions for a subcontinuum of a semiatriodic and unicoherent continuum M to lie within the interior of a proper subcontinuum of M.
Irreducible mappings and HU-terminal continua.
Les images multivoques d'un segment
Making holes in the cone, suspension and hyperspaces of some continua
A connected topological space is unicoherent provided that if where and are closed connected subsets of , then is connected. Let be a unicoherent space, we say that makes a hole in if is not unicoherent. In this work the elements that make a hole to the cone and the suspension of a metric space are characterized. We apply this to give the classification of the elements of hyperspaces of some continua that make them hole.
Mappings of terminal continua.
Monotone decompositions of hereditarily unicoherent continua via set functions and quasi-orders