Configuration Spaces of Linkages in R^n

Henry C. King

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arXiv · math/9811138

Configuration Spaces of Linkages in R^n

Henry C. King

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Abstract

This paper studies the configuration space of all possible positions of a linkage in R^n. For example, it shows that for every compact algebraic set, there is a linkage whose configuration space is analytically isomorphic to a finite number of copies of the algebraic set. If flexible edges are allowed, any compact set given by polynomial equalities and inequalities is the configuration space of a linkage. This paper also characterizes functions which can be computed by linkages.

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BibTeX RIS

Henry C. King. 1998-11-23. Configuration Spaces of Linkages in R^n. https://arxiv.org/abs/math/9811138

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