On internal movability; internal shape and internal MANR-spaces
On non compact FANR's and MANR's
On pointed 1-movability and related notions
On properties of approximate fibrations. I.
On properties preserved by the approximate domination
On quasidomination of compacta
On shape and fundamental deformation retracts
On shape groups and Cech homology groups of a compact space
On shape of hyperspaces
On some weak monomorphisms and weak epimorphisms of pro-HTop*.
Related to Shape Theory, in a previous paper (1992) we studied weak monomorphisms and weak epimorphisms in the category of pro-groups. In this note we give some intrinsic characterizations of the weak monomorphisms and the weak epimorphisms in pro-HTop* in the case when one of the two objects of such a morphism is a rudimentary system.
On the fundamental dimension of the Cartesian product of compacta with the fundamental dimension 2
On the relationships between shape properties of subcompacta of and homotopy properties of their complements
On the surjectivity of shape fibrations
On weak monomorphisms and weak epimorphisms in the category of pro-groups.
In this paper we characterize weak monomorphisms and weak epimorphisms in the category of pro-groups. Also we define the notion of weakly exact sequence and we study this notion in the category of pro-groups.
Polyhedra with finite fundamental group dominate finitely many different homotopy types
In 1968 K. Borsuk asked: Does every polyhedron dominate only finitely many different shapes? In this question the notion of shape can be replaced by the notion of homotopy type. We showed earlier that the answer to the Borsuk question is no. However, in a previous paper we proved that every simply connected polyhedron dominates only finitely many different homotopy types (equivalently, shapes). Here we prove that the same is true for polyhedra with finite fundamental group.
Polyhedra with virtually polycyclic fundamental groups have finite depth
The notions of capacity and depth of compacta were introduced by K. Borsuk in the seventies together with some open questions. In a previous paper, in connection with one of them, we proved that there exist polyhedra with polycyclic fundamental groups and infinite capacity, i.e. dominating infinitely many different homotopy types (or equivalently, shapes). In this paper we show that every polyhedron with virtually polycyclic fundamental group has finite depth, i.e., there is a bound on the lengths...
Recognition of certain classes of closed maps
Refinable maps in the theory of shape
Remark on ANR-divisors
Remarks on deformability