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
On some examples of monostratic λ-dendroids
On some famous examples in dimension theory
On some notions related to compactness for locales
On some problems of Borsuk
On some properties of the metric dimension
On some subspaces of the Helly space
On some test spaces in dimension theory
On span and chainable continua
On span and weakly chainable continua
On special metrics characterizing topological properties
On spirals and fixed point property
We study the famous examples of G. S. Young [7] and R. H. Bing [2]. We generalize and simplify a little their constructions. First we introduce Young spirals which play a basic role in all considerations. We give a construction of a Young spiral which does not have the fixed point property (see Section 5) . Then, using Young spirals, we define two classes of uniquely arcwise connected curves, called Young spaces and Bing spaces. These classes are analogous to the examples mentioned above. The definitions...
On Surjective Bing Maps
In [7], M. Levin proved that the set of all Bing maps of a compact metric space to the unit interval is a dense -subset of the space of all maps. In [6], J. Krasinkiewicz independently proved that the set of all Bing maps of a compact metric space to an n-dimensional manifold (n ≥ 1) is a dense -subset of the space of maps. In [9], J. Song and E. D. Tymchatyn, solving some problems of J. Krasinkiewicz ([6]), proved that the set of all Bing maps of a compact metric space to a nondegenerate connected...