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Hurewicz homomorphisms

Theorem :
Let X be simply connected .
H[sub q](X) be finitely generated for each q. π[sub q](X) be finite for each q < n. n>> 1.
Then ,
H[sub q] , π[sub q](X) --> H[sub q](X)
has finite kernel for q < 2n has finite cokernel for q < 2n+l
ker h[sub 2n+1] Q = ker u
where , u is the cup product or the square free cup product on R[sup n+1](x) depending on whether n+1 is even or odd , respectively .
( R[sup N+1](X) is a quotient group of H[sub Q][sup n+1](x) to be defined in this thesis ) / Science, Faculty of / Mathematics, Department of / Graduate

Identiferoai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/18814
Date January 1974
CreatorsLê, Anh-Chi’
Source SetsUniversity of British Columbia
LanguageEnglish
Detected LanguageEnglish
TypeText, Thesis/Dissertation
RightsFor non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.

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