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Title:Topology of configuration space on trees
Author(s):Zhou, Sishen
Director of Research:Baryshnikov, Yuliy
Doctoral Committee Chair(s):Schenck, Henry
Doctoral Committee Member(s):Bronski, Jared; Hirani, Anil
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(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.
Issue Date:2015-12-02
Type:Thesis
URI:http://hdl.handle.net/2142/89221
Rights Information:Copyright 2015 Sishen Zhou
Date Available in IDEALS:2016-03-02
Date Deposited:2015-12


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