Homologies of Path Complexes

碩士 === 國立臺灣大學 === 數學研究所 === 102 === The main content of this thesis is a reorganization of [2], [3], and [10]. We introduce the notion of path homology and discuss some applications on digraphs; finally we use the method to prove Brouwer’s fixed point theorem in an alternative way....

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Bibliographic Details
Main Authors: Chang-Han Chueh, 闕昌漢
Other Authors: 王藹農
Format: Others
Language:en_US
Published: 2014
Online Access:http://ndltd.ncl.edu.tw/handle/60833471432066785927
Description
Summary:碩士 === 國立臺灣大學 === 數學研究所 === 102 === The main content of this thesis is a reorganization of [2], [3], and [10]. We introduce the notion of path homology and discuss some applications on digraphs; finally we use the method to prove Brouwer’s fixed point theorem in an alternative way.