Some questions on the composition factor property for atomic mappings.
Recent research in hyperspace theory.
Atomic mappings and extremal continua.
The notion of atomic mappings was introduced by R. D. Anderson in [1] to describe special decompositions of continua. Soon, atomic mappings turned out to be important tools in continuum theory. In particular, it can be seen in [2] and [5] that these maps are very helpful to construct some special, singular continua. Thus, the mappings have proved to be interesting by themselves, and several of their properties have been discovered, e.g. in [6], [7] and [9]. The reader is referred to Table II of...
Covering Properties of Continua and Mappings
Arc property of Kelley and absolute retracts for hereditarily unicoherent continua
We investigate absolute retracts for hereditarily unicoherent continua, and also the continua that have the arc property of Kelley (i.e., the continua that satisfy both the property of Kelley and the arc approximation property). Among other results we prove that each absolute retract for hereditarily unicoherent continua (for tree-like continua, for λ-dendroids, for dendroids) has the arc property of Kelley.
On finitely equivalent continua.
The lifting property for classes of mappings.
Component restriction property for classes of mappings.
On sets of periodic and of recurrent points.
Mappings of terminal continua.
On a family of dendrites.
A collection of dendroids.
Atomicity of mappings.
Continua with the periodic-recurrent property.
On piecewise confluent mappings.
Semi-confluent mappings.
Depth of dendroids.
Continua determined by mappings.
Bend sets, -sequences, and mappings.
Various kinds of local connectedness.
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