University of Illinois Urbana-Champaign

Topology of configuration space on trees

Zhou, Sishen

Content Files
ZHOU-DISSERTATION-2015.pdf

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https://hdl.handle.net/2142/89221

Description

Title
Topology of configuration space on trees
Author(s)
Zhou, Sishen
Issue Date
2015-12-02
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
Date of Ingest
2016-03-02T21:06:53Z
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.
Graduation Semester
2015-12
Type of Resource
text
Permalink
http://hdl.handle.net/2142/89221
Copyright and License Information
Copyright 2015 Sishen Zhou

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Graduate Dissertations and Theses at Illinois PRIMARY
Graduate Theses and Dissertations at Illinois
Dissertations and Theses - Mathematics