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Thesis Final.pdf (474.02 KB)
ETD Abstract Container
Abstract Header
Construction of Maps by Postnikov Towers
Author Info
Kennedy, Chris A
ORCID® Identifier
http://orcid.org/0000-0002-1182-3083
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu1533034197206461
Abstract Details
Year and Degree
2018, Doctor of Philosophy, Ohio State University, Mathematics.
Abstract
Using Postnikov towers, we investigate the possible degrees of self-maps of various spaces, including SU(3), Sp(2), SU(4), and the principal Sp(1)-bundles over S^7. This investigation requires determining the Postnikov invariants for these spaces, which involves a detailed exploration of the secondary and tertiary cohomology operations that relate their cohomology classes. We also present some conditions for finding and lifting H-maps in Postnikov towers, and conjecture what corresponding results about SU(n) and Sp(n) should look like.
Committee
Jean-Francois Lafont (Advisor)
James Fowler (Committee Member)
John Harper (Committee Member)
Pages
79 p.
Subject Headings
Mathematics
Keywords
algebraic topology
;
Postnikov towers
;
secondary cohomology operations
;
higher cohomology operations
;
special unitary group
;
symplectic group
;
H-spaces
;
fiber bundles
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Refworks
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RIS
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Citations
Kennedy, C. A. (2018).
Construction of Maps by Postnikov Towers
[Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1533034197206461
APA Style (7th edition)
Kennedy, Chris.
Construction of Maps by Postnikov Towers.
2018. Ohio State University, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=osu1533034197206461.
MLA Style (8th edition)
Kennedy, Chris. "Construction of Maps by Postnikov Towers." Doctoral dissertation, Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu1533034197206461
Chicago Manual of Style (17th edition)
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Document number:
osu1533034197206461
Download Count:
410
Copyright Info
© 2018, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.