Please use this identifier to cite or link to this item:
http://hdl.handle.net/11375/21036
Title: | Dihomotopy and Concurrent Computing |
Authors: | Fernandes, Praphat Xavier |
Advisor: | Nicas, Andrew |
Department: | Mathematics |
Keywords: | dihomotopy, concurrent, computing |
Publication Date: | Jun-2005 |
Abstract: | <p> Concurrent Computing has certain interesting links with Algebraic Topology. There are various geometric models for concurrent computing. We examine one geometric approach to modeling concurrency, via the notion of a locally partially ordered space. We examine a notion analogous to that of homotopy, called dihomotopy, that is compatible with a local partial order. In the category of locally partially ordered spaces and di-maps we examine the isomorphisms, which are called di-homeomorphisms. We classify all di-homeomorphic embeddings of the unit square into the Euclidean plane.</p> |
URI: | http://hdl.handle.net/11375/21036 |
Appears in Collections: | Digitized Open Access Dissertations and Theses |
Files in This Item:
File | Description | Size | Format | |
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Fernandes_Praphat_X._2005Jun_Masters..pdf | 1.51 MB | Adobe PDF | View/Open |
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