Abstract
It is shown that if Π n , n > 2, are Chogoshvili's cohomotopy functors [Chogoshvili, Bull. Acad. Sci. Georgian SSR 97: 273-276, 1980, Khazhomia, Trudy Tbiliss. Mat. Inst. Razmadze 91: 81-87, 1988, Khazhomia, Georgian Math. J. 1: 151-171, 1994], then 1) the isomorphism Π n ( X 1 × X 2 ) ≈ Π n ( X 1 ) ⊕ Π n ( X 2 ) holds for topological spaces X 1 and X 2 ; 2) the relations rank Π n ( X ) = rank π n ( X ), Tor Π n +1 ( X ) ≈ Tor π n ( X ) hold under certain restrictions for the space X .
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