NIGERIAN JOURNAL OF SCIENCE AND ENVIRONMENT
Journal of the Faculties of Science and Agriculture, Delta State University, Abraka, Nigeria

ISSN: 1119-9008
DOI: 10.5987/UJ-NJSE
Email: njse@universityjournals.org

VERIFICATION OF EILENBERGE- MACLANE SPACES USING OBSTRUCTION THEORY AND INDUCTION ARGUMENT

DOI: 10.5987/UJ-NJSE.17.120.1   |   Article Number: F6A26525   |   Vol.12 (1) - May 2013

Authors:  Atonuje A. O. and Okwonu F. Z.

ABSTRACT

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By using the obstruction theory and induction argument, we show that
is an isomorphism for and is surjective. With kernel K
(G,n), the subgroup generated by is the subgroup generating and
we establish that the homomorphism is zero. Since it is surjective, implies that
Hence has the required properties on its homotopy groups making an Eilenberg – Maclane
space.

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