Classification of Mappings of an (n + 2)-Complex into an (n − 1)-Connected Space with Vanishing (n + 1)-st Homotopy Group

The present paper is concerned with the classification and corresponding extension theorem of mappings of the (n+-2)-complex Kn+2 (n>2) into the space Y whose homotopy groups πi(Y) vanish for i < n and i = n+1, and the n-th homotopy group πn(Y) of which has a finite number of generators. Our m...

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Bibliographic Details
Published in:Nagoya mathematical journal 1952-06, Vol.4, p.43-50
Main Authors: Shimada, Nobuo, Uehara, Hiroshi
Format: Article
Language:English
Subjects:
56.0X
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Summary:The present paper is concerned with the classification and corresponding extension theorem of mappings of the (n+-2)-complex Kn+2 (n>2) into the space Y whose homotopy groups πi(Y) vanish for i < n and i = n+1, and the n-th homotopy group πn(Y) of which has a finite number of generators. Our methods followed here are essentially analogous to those of Steenrod [2].
ISSN:0027-7630
2152-6842
DOI:10.1017/S0027763000022972