Connected Projections of Configuration Spaces of Linkages

2018/12/03 by Henry C. King, King, Henry C.
Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.1812.10370

openalex publication_date 2018/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that any compact connected semialgebraic set is the projection of a connected component of the configuration space of a linkage.

Citations

• Semiconfiguration Spaces of Planar Linkages

Related

• Semiconfiguration Spaces of Planar Linkages
• Configuration Spaces of Linkages in Rⁿ
• Planar Linkages and Algebraic Sets
• Configuration spaces of spatial linkages: Taking Collisions Into Account
• Universality theorems for configuration spaces of planar linkages