Topology of configuration space on trees

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2016

Author dc:creator

• Zhou, Sishen

Contributors dc:contributor

• Baryshnikov, Yuliy
• Schenck, Henry
• Bronski, Jared
• Hirani, Anil

• Configuration space
• Discrete Morse theory

Statement dc:rights

• Copyright 2015 Sishen Zhou

Language dc:language

en

Handle dc:identifier

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

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/89221