Resolutions of spaces and proper inverse systems in shape theory
Resolutions Of Spaces Are Strong Expansions
Retracts and homotopies for multi-maps
Several characterizations of SSDR-maps
s-Fibrations
Shape and strong shape equivalences
Shape evaluation groups
Shape Fibrations For Compact Hausdorff Spaces
Shape groups for -algebras.
Shape Invariant Functors: Application in Module-Theory.
Shape morphisms and spaces of approximative maps
Shape theory for C*-algebras.
Shape theory in a bicategory
Shape theory intrinsically.
We prove in this paper that the category HM whose objects are topological spaces and whose morphisms are homotopy classes of multi-nets is naturally equivalent to the shape theory Sh. The description of the category HM was given earlier in the article "Shape via multi-nets". We have shown there that HM is naturally equivalent to Sh only on a rather restricted class of spaces. This class includes all compact metric spaces where a similar intrinsic description of the shape category using multi-valued...
Shape theory of maps.
We shall describe a modification of homotopy theory of maps which we call shape theory of maps. This is accomplished by constructing the shape category of maps HMb. The category HMb is built using multi-valued functions. Its objects are maps of topological spaces while its morphisms are homotopy classes of collections of pairs of multi-valued functions which we call multi-binets. Various authors have previously given other descriptions of shape categories of maps. Our description is intrinsic in...
Shapes of compacta and ANR-systems
Shift equivalence in homotopy.
Some extension and classification theorems for maps of movable spaces
Some relations between shape constructions
Some remarks concerning the fundamental dimension of the cartesian product of two compacta