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On fans

J. J. Charatonik — 1967

CONTENTS§ 1. Introduction....................................................................................................................................................................... 5§ 2. Preliminaries.................................................................................................................................................................... 6§ 3. Smoothness........................................................................................................................................................................

The fixed point property for set-valued mappings of some acyclic curves

J. J. Charatonik — 1972

Colloquium Mathematicae

On chaotic curves

J. J. Charatonik — 1979

Colloquium Mathematicae

The set function T and homotopies

J. J. Charatonik — 1978

Colloquium Mathematicae

Local connectivity, open homogeneity and hyperspaces.

J. J. Charatonik — 1993

Revista Matemática de la Universidad Complutense de Madrid

In the first part of the paper behavior of conditions related to local connectivity at a point is discussed if the space is transformed under a mapping that is interior or open at the considered point of the domain. The second part of the paper deals with metric locally connected continua. They are characterized as continua for which the hyperspace of their nonempty closed subjects is homogeneous with respect to open mappings. A similar characterization for the hyperspace of subcontinua remains...

On contractible dendroids

J. J. Charatonik; C. A. Eberhart — 1972

Colloquium Mathematicae

Remarks on non-planable dendroids

J. J. Charatonik; Z. Rudy — 1977

Colloquium Mathematicae

A fixed point property for locally one-to-one mappings

J. J. Charatonik; S. Miklos — 1985

Commentationes Mathematicae

The article contains no abstract

Mapping hierarchy for dendrites

J. J. Charatonik; W. J. Charatonik; J. R. Prajs — 1994

AbstractLet a family S of spaces and a class F of mappings between members of S be given. For two spaces X and Y in S we define $Y \leq_{F} X$ if there exists a surjection f ∈ F of X onto Y. We investigate the quasi-order $\leq_{F}$ in the family of dendrites, where F is one of the following classes of mappings: retractions, monotone, open, confluent or weakly confluent mappings. In particular, we investigate minimal and maximal elements, chains and antichains in the quasi-order $\leq_{F}$ , and characterize spaces which can be...

Confluent mappings of fans

J. J. Charatonik; W. J. Charatonik; S. Miklos — 1990

CONTENTS1. Introduction.......................................................52. Preliminaries ....................................................83. General properties .........................................114. Mappings onto fans........................................145. Mappings onto an arc.....................................206. A characterization of the top...........................277. Open mappings and their lightness................288. Inverse limits...................................................399....