On order topology of spaces having uniform linearly ordered bases
On orderability of topological groups.
On ordered topological spaces
On pairs of compacta with dim(X×Y) < dimX + dimY
On partitions in cylinders over continua and a question of Krasinkiewicz
We show that a metrizable continuum X is locally connected if and only if every partition in the cylinder over X between the bottom and the top of the cylinder contains a connected partition between these sets. J. Krasinkiewicz asked whether for every metrizable continuum X there exists a partiton L between the top and the bottom of the cylinder X × I such that L is a hereditarily indecomposable continuum. We answer this question in the negative. We also present a construction...
On piecewise confluent mappings.
On pointed 1-movability and related notions
On points of lower and upper quasi-continuity of multivalued maps
On pointwise smooth dendroids
On. positions of sets in spaces.
On proximity ordered spaces
On quasi-uniform space valued semi-continuous functions
F. van Gool [Comment. Math. Univ. Carolin. 33 (1992), 505–523] has introduced the concept of lower semicontinuity for functions with values in a quasi-uniform space . This note provides a purely topological view at the basic ideas of van Gool. The lower semicontinuity of van Gool appears to be just the continuity with respect to the topology generated by the quasi-uniformity , so that many of his preparatory results become consequences of standard topological facts. In particular, when the order...
On rectangular covers of
On self-homeomorphic dendrites
It is shown that for every numbers there is a strongly self-homeomorphic dendrite which is not pointwise self-homeomorphic. The set of all points at which the dendrite is pointwise self-homeomorphic is characterized. A general method of constructing a large family of dendrites with the same property is presented.
On semi-closed sets and semi-open sets and their applications
On sets of confluent and related mappings in the space
On shapes of topological spaces
On smooth continua
On smooth dendroids
On some approximation properties of the metric dimension