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osu1054781795.pdf (423.15 KB)
ETD Abstract Container
Abstract Header
Three dimensional FC Artin groups are CAT(0)
Author Info
Bell, Robert William, II
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu1054781795
Abstract Details
Year and Degree
2003, Doctor of Philosophy, Ohio State University, Mathematics.
Abstract
Following earlier work of T. Brady, we construct locally CAT(0) classifying spaces for those Artin groups which are three dimensional and which satisfy the FC (flag complex) condition. The approach is to verify the “link condition” by applying gluing arguments for CAT(1) spaces and by using curvature testing techniques as suggested by the work of M. Elder and J. McCammond.
Committee
Ruth Charney (Advisor)
Pages
112 p.
Subject Headings
Mathematics
Keywords
CAT(0)
;
Artin group
;
Coxeter group
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Refworks
EndNote
RIS
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Citations
Bell, II, R. W. (2003).
Three dimensional FC Artin groups are CAT(0)
[Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1054781795
APA Style (7th edition)
Bell, II, Robert.
Three dimensional FC Artin groups are CAT(0).
2003. Ohio State University, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=osu1054781795.
MLA Style (8th edition)
Bell, II, Robert. "Three dimensional FC Artin groups are CAT(0)." Doctoral dissertation, Ohio State University, 2003. http://rave.ohiolink.edu/etdc/view?acc_num=osu1054781795
Chicago Manual of Style (17th edition)
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Document number:
osu1054781795
Download Count:
930
Copyright Info
© 2003, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.