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:: Volume 13, Issue 3 (3-2024) ::
JGST 2024, 13(3): 29-39 Back to browse issues page
Category theory as a mathematical framework in spatial analysis; Challenges and opportunities
Abouzar Ramezani *
Abstract:   (294 Views)
Category theory is a branch of mathematics that is used to abstractly describe structures in mathematics. Unlike set theory, category theory focuses on relationships between objects, not on objects. Solving complexity in many engineering fields has become possible by structuring these problems on mathematical frameworks. Therefore, many researches have been conducted in the field of building complex problems on various branches of mathematics. In Geospatial information systems, mathematical sciences including set theory, graph theory and topology have been used, and category theory has been proposed as a new branch of mathematics to solve spatial problems. The purpose of this research is to investigate the opportunities and challenges that the category theory has created for the Geospatial information system in order to provide researchers with a more open view to use this framework in structuring spatial problems.
 
Article number: 3
Keywords: Category Theory, Mathematical Framework, Spatial Analysis, Topology
Full-Text [PDF 557 kb]   (159 Downloads)    
Type of Study: Tarviji | Subject: GIS
Received: 2023/08/1
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Ramezani A. Category theory as a mathematical framework in spatial analysis; Challenges and opportunities. JGST 2024; 13 (3) : 3
URL: http://jgst.issgeac.ir/article-1-1156-en.html


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Volume 13, Issue 3 (3-2024) Back to browse issues page
نشریه علمی علوم و فنون نقشه برداری Journal of Geomatics Science and Technology