$n$-shapes and $n$-cohomotopy groups of compacta

This paper continues the study of the notion of $n$-shape previously introduced by the author. The $n$-shape category and $n$-shape functor are defined, and they are given an axiomatic description. Also defined are the $n$-cohomotopy groups of compacta. A proof is given of the $n$-shape invariance of these groups, and a connection established between them and the generalized cohomotopy groups of Borsuk.
Bibliography: 14 titles.