Smooth dendroids without ordinary points
On decompositions of λ-dendroids
On ramification points in the classical sense
Remarque à un travail de Z. Waraszkiewicz
Remarks on some class of continuous mappings of λ-dendroids
An example of a monostratiform λ-dendroid
Confluent mappings and unicoherence of continua
Two invariants under continuity and the incomparability of fans
On decompositions of continua
Whitney maps-a non-metric case
It is shown that there is no Whitney map on the hyperspace for non-metrizable Hausdorff compact spaces X. Examples are presented of non-metrizable continua X which admit and ones which do not admit a Whitney map for C(X).
Hereditarily weakly confluent induced mappings are homeomorphisms
For a given mapping f between continua we consider the induced mappings between the corresponding hyperspaces of closed subsets or of subcontinua. It is shown that if either of the two induced mappings is hereditarily weakly confluent (or hereditarily confluent, or hereditarily monotone, or atomic), then f is a homeomorphism, and consequently so are both the induced mappings. Similar results are obtained for mappings between cones over the domain and over the range continua.
Homotopically fixed arcs and the contractibility of dendroids
On local expansions
On smooth dendroids
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...
On generalized homogeneity of locally connected plane continua
The well-known result of S. Mazurkiewicz that the simple closed curve is the only nondegenerate locally connected plane homogeneous continuum is extended to generalized homogeneity with respect to some other classes of mappings. Several open problems in the area are posed.
Absolutely terminal continua and confluent mappings
Interrelations between three concepts of terminal continua and their behaviour, when the underlying continuum is confluently mapped, are studied.
Mappings related to confluence
Necessary and sufficient conditions are found in the paper for a mapping between continua to be monotone, confluent, semi-confluent, joining, weakly confluent and pseudo-confluent. Three lists of these conditions are presented. Two are formulated in terms of components and of quasi-components, respectively, of connected closed subsets of the range space, while the third one in terms of connectedness between subsets of the domain space. Some basic relations concerning these concepts are studied.
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