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Special Section: Topological representation and reasoning in design and manufacturing

Published online by Cambridge University Press:  04 May 2001

DAN BRAHA
DAN BRAHA
Affiliation:
Department of Industrial Engineering, Ben-Gurion University, Beer-Sheva 84105, Israel Also Affiliate of the New England Complex Systems Institute, 24 Mt. Auburn St., Cambridge, Massachusetts, 02135, U.S.A.
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Abstract

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Topology deals with geometric properties that are dependent only on the relative positions of the components of figures and not on such concepts as length, size, and magnitude. Topology supports design and representation of mechanical devices, communication and transportation networks, topographic maps, and planning and controlling of complex activities. In addition, aspects of topology are closely related to symbolic logic, which forms the foundation of artificial intelligence. By approaching engineering design from this abstract point of view, it is possible to use topological methods to study collections of geometric objects or collections of entities that are of concern in design analysis or synthesis. The importance of topological representation and reasoning in analysis, design, and manufacturing is heightened by the contemporary view that stresses the need for conceptual design.

Type
Special Section: Topological representation and reasoning in design and manufacturing
Information
AI EDAM , Volume 15 , Issue 1 , January 2001 , pp. 1
Copyright
© 2001 Cambridge University Press