On the fixed point property for set-valued mappings of hereditarily decomposable continua
Problems and remarks on contractibility of curves
On fans
CONTENTS§ 1. Introduction....................................................................................................................................................................... 5§ 2. Preliminaries.................................................................................................................................................................... 6§ 3. Smoothness........................................................................................................................................................................
The fixed point property for set-valued mappings of some acyclic curves
On chaotic curves
The set function T and homotopies
Local connectivity, open homogeneity and hyperspaces.
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
Remarks on non-planable dendroids
A fixed point property for locally one-to-one mappings
The article contains no abstract
Mapping hierarchy for dendrites
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 if there exists a surjection f ∈ F of X onto Y. We investigate the quasi-order 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 , and characterize spaces which can be...
Confluent mappings of fans
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....
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