On the shape of the suspension
On the surjectivity of shape fibrations
-embeddings, AR and ANR spaces.
Polyhedral-shape concordance implying homeomorphic complements
Proper shape invariants: Smoothness and calmness.
Proper shape invariants: Tameness and movability.
Quasi-equivalence of compacta and spaces of components.
Let X, Y be two compacta with Sh(X) = Sh (Y). Then, the spaces of components of X, Y are homeomorphic. This does not happen, in general, when X, Y are quasi-equivalent. In this paper we give a sufficient condition for the existence of a homeomorphism between the spaces of components of two quasi-equivalent compacta X, Y which maps each component in a quasi-equivalent component.
Recognition of certain classes of closed maps
Recognizing approximate -tameness.
Refinable maps in the theory of shape
Remark on ANR-divisors
Resolutions of spaces and proper inverse systems in shape theory
Resolutions Of Spaces Are Strong Expansions
Retracts and homotopies for multi-maps
s-Fibrations
Shape groups for -algebras.
Shape index in metric spaces
We extend the shape index, introduced by Robbin and Salamon and Mrozek, to locally defined maps in metric spaces. We show that this index is additive. Thus our construction answers in the affirmative two questions posed by Mrozek in [12]. We also prove that the shape index cannot be arbitrarily complicated: the shapes of q-adic solenoids appear as shape indices in natural modifications of Smale's horseshoes but there is not any compact isolated invariant set for any locally defined map in a locally...
Shape Invariant Functors: Application in Module-Theory.
Shape morphisms and spaces of approximative maps
Shape properties of hyperspaces