Semi-confluent and weakly confluent images of tree-like and atriodic continua
Semi-confluent mappings.
Semi-confluent mappings and their invariants
Semigroups on -spaces
Semigroups with only finitely many regular ... -classes.
Sets of end-points and ramification points in dendroids
Shadowing and expansivity in subspaces
We address various notions of shadowing and expansivity for continuous maps restricted to a proper subset of their domain. We prove new equivalences of shadowing and expansive properties, we demonstrate under what conditions certain expanding maps have shadowing, and generalize some known results in this area. We also investigate the impact of our theory on maps of the interval.
Singular arc-like continua [Book]
Singular homology of n-cell-like continua
Size levels for arcs
We determine the size levels for any function on the hyperspace of an arc as follows. Assume Z is a continuum and consider the following three conditions: 1) Z is a planar AR; 2) cut points of Z have component number two; 3) any true cyclic element of Z contains at most two cut points of Z. Then any size level for an arc satisfies 1)-3) and conversely, if Z satisfies 1)-3), then Z is a diameter level for some arc.
Small retractions of smooth dendroids onto trees
Smooth dendroids as inverse limits of dendrites
Smooth dendroids without ordinary points
Smoothness and the property of Kelley
Interrelations between smoothness of a continuum at a point, pointwise smoothness, the property of Kelley at a point and local connectedness are studied in the paper.
Solenoids and inverse limits of sequences of arcs with open bonding maps
Some characterizations of smooth continua.
Some classes of locally connected continua
Some examples of irreducibly confluent mappings
Some functions on hyperspaces of hereditarily unicoherent continua
Some local properties of Suslinian compacta