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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 )
Item Metadata
| Title |
Hurewicz homomorphisms
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
1974
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| Description |
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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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2010-01-20
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
For 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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| DOI |
10.14288/1.0079492
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| URI | |
| Degree (Theses) | |
| Program (Theses) | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Campus | |
| Scholarly Level |
Graduate
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| Aggregated Source Repository |
DSpace
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Rights
For 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.