On metrizability of continuous images of compact ordered spaces
On monotone mappings of continua
On movability and other similar shape properties
On movable compacta
On Nachbin's problem concerning uniformizable ordered spaces
On non-separable 0-dimensional metrizable spaces
On open light mappings
Whyburn has proved that each open mapping defined on arc (a simple closed curve) is light. Charatonik and Omiljanowski have proved that each open mapping defined on a local dendrite is light. Theorem 3.8 is an extension of these results.
On order locally finite and closure-preserving covers
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...