Skip to Main Content
 

Global Search Box

 
 
 
 

ETD Abstract Container

Abstract Header

Three dimensional FC Artin groups are CAT(0)

Bell, Robert William, II

Abstract Details

2003, Doctor of Philosophy, Ohio State University, Mathematics.
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.
Ruth Charney (Advisor)
112 p.

Recommended Citations

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)