This article is cited in 10 papers

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

A. Ch. Chigogidze


Abstract: 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.

UDC: 515.12

MSC: Primary 55P55; Secondary 55Q55

Received: 11.06.1987

 English version: Mathematics of the USSR-Sbornik, 1990, 66:2, 329–342

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