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UBC Theses and Dissertations

Hurewicz homomorphisms Lê, Anh-Chi’

Abstract

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 )

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