Topology of configuration space on trees

Configuration space;Discrete Morse theory

Zhou, Sishen

关键词: Configuration space;    Discrete Morse theory;   

Others  :  https://www.ideals.illinois.edu/bitstream/handle/2142/89221/ZHOU-DISSERTATION-2015.pdf?sequence=1&isAllowed=y

美国|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

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.