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

Published online by Cambridge University Press:  22 January 2016

Nobuo Shimada  and
Hiroshi Uehara
Nobuo Shimada
Affiliation:
Mathematical Institute, Nagoya University
Hiroshi Uehara
Affiliation:
Mathematical Institute, Nagoya University
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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].

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 4 , June 1952 , pp. 43 - 50
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1952

References

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