On pointed 1-movability and related notions
On pointwise smooth dendroids
On. positions of sets in spaces.
On semi-closed sets and semi-open sets and their applications
On sets of confluent and related mappings in the space
On smooth continua
On smooth dendroids
On some examples of monostratic λ-dendroids
On some problems of Borsuk
On span and chainable continua
On span and weakly chainable continua
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...
On symmetric products
On the additivity of the fixed point property for 1-dimensional continua
On the classification of inverse limits of tent maps
Let and be tent maps on the unit interval. In this paper we give a new proof of the fact that if the critical points of and are periodic and the inverse limit spaces and are homeomorphic, then s = t. This theorem was first proved by Kailhofer. The new proof in this paper simplifies the proof of Kailhofer. Using the techniques of the paper we are also able to identify certain isotopies between homeomorphisms on the inverse limit space.
On the continua which are Cantor homogeneous or arcwise homogeneous
On the depth of a continuum
On the existence of arcs in rational curves
On the existence of means on solenoids.
On the fundamental dimension of the Cartesian product of compacta with the fundamental dimension 2