Limit of approximate inverse system of totally regular continua is totally regular.
Limiting subcontinua and Whitney maps of tree-like continua
Local connectivity and maps onto non-metrizable arcs.
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...
Local homeomorphisms onto tree-like continua
Locally connected curves viewed as inverse limits
Locally connected images of ordered compacta
Locally one-to-one mappings on graphs
Locally starlike decompositions of separable metric spaces
Mapping an arc onto a dendritic continuum
Mapping arcs and dendritic spaces onto netlike continua
Mapping arcwise connected continua onto cyclic continua
Mapping continua onto their cones
Mappings of terminal continua.
Mappings on the dyadic solenoid
Answering an open problem in [3] we show that for an even number , there exist no to mappings on the dyadic solenoid.
Mappings onto circle-like continua
Menger curves in Peano continua
Metrizability of trees
Monotone decompositions of continua
Monotone decompositions of continua into generalized arcs and simple closed curves