Director of Research (if dissertation) or Advisor (if thesis)
Baryshnikov, Yuliy
Doctoral Committee Chair(s)
Schenck, Henry
Committee Member(s)
Bronski, Jared
Hirani, Anil
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Configuration space
Discrete Morse theory
Abstract
Configuration Space on trees comes naturally from problems in engineering and has its own importance in mathematics. This paper reviewed the existing research results on the topological properties of classic configuration spaces and generalized some of them for the no-k-equal configuration space on trees.
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