On a stability theorem for the fixed-point property
On shape and fundamental deformation retracts
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 singularity of Mazurkiewicz in absolute neighborhood retracts
On the Uniqueness of the Topological Degree for k-Set-Contractions.
Once More on the Lefschetz Fixed Point Theorem
An abstract version of the Lefschetz fixed point theorem is presented. Then several generalizations of the classical Lefschetz fixed point theorem are obtained.