On interior monotone mappings.
On linear operators and functors extending pseudometrics
For some pairs (X,A), where X is a metrizable topological space and A its closed subset, continuous, linear (i.e., additive and positive-homogeneous) operators extending metrics for A to metrics for X are constructed. They are defined by explicit analytic formulas, and also regarded as functors between certain categories. An essential role is played by "squeezed cones" related to the classical cone construction. The main result: if A is a nondegenerate absolute neighborhood retract for metric spaces,...
On medial properties of maps
On movability and other similar shape properties
On movable compacta
On non compact FANR's and MANR's
On products of incompressible AR's
On properties preserved by the approximate domination
On rest points of dynamical systems
On shape
On some applications of infinite-dimensional manifolds to the theory of shape
On spaces which have the shape of compact metric spaces
On spaces with binary normal subbase
On the disjoint (0,N)-cells property for homogeneous ANR's
A metric space (X,ϱ) satisfies the disjoint (0,n)-cells property provided for each point x ∈ X, any map f of the n-cell into X and for each ε > 0 there exist a point y ∈ X and a map such that ϱ(x,y) < ε, and . It is proved that each homogeneous locally compact ANR of dimension >2 has the disjoint (0,2)-cells property. If dimX = n > 0, X has the disjoint (0,n-1)-cells property and X is a locally compact -space then local homologies satisfy for k < n and Hn(X,X-x) ≠ 0.
On the Lefschetz fixed point theorem for multivalued weighted mappings
On the Lusternik-Schnirelmann category in the theory of shape
On the shape of MAR and MANR-spaces
On the structure of fixed point sets of some compact maps in the Fréchet space
The aim of this note is 1. to show that some results (concerning the structure of the solution set of equations (18) and (21)) obtained by Czarnowski and Pruszko in [6] can be proved in a rather different way making use of a simle generalization of a theorem proved by Vidossich in [8]; and 2. to use a slight modification of the “main theorem” of Aronszajn from [1] applying methods analogous to the above mentioned idea of Vidossich to prove the fact that the solution set of the equation (24), (25)...
On the uniqueness of the decomposition of finite-dimensional ANR-s into Cartesian products of at most l-dimensional spaces
On the Whitehead Theorem in shape theory