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$n$-shapes and $n$-cohomotopy groups of compacta
Sbornik. Mathematics, Tome 66 (1990) no. 2, pp. 329-342 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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A. Ch. Chigogidze. $n$-shapes and $n$-cohomotopy groups of compacta. Sbornik. Mathematics, Tome 66 (1990) no. 2, pp. 329-342. http://geodesic.mathdoc.fr/item/SM_1990_66_2_a1/

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