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
Stable cohomotopy groups of compact spaces
We show that one can reduce the study of global (in particular cohomological) properties of a compact Hausdorff space X to the study of its stable cohomotopy groups . Any cohomology functor on the homotopy category of compact spaces factorizes via the stable shape category ShStab. This is the main reason why the language and technique of stable shape theory can be used to describe and analyze the global structure of compact spaces. For a given Hausdorff compact space X, there exists a metric compact...
Strong shape of the Stone-Čech compactification
J. Keesling has shown that for connected spaces the natural inclusion of in its Stone-Čech compactification is a shape equivalence if and only if is pseudocompact. This paper establishes the analogous result for strong shape. Moreover, pseudocompact spaces are characterized as spaces which admit compact resolutions, which improves a result of I. Lončar.