30 citations · 50 across the 7 of their papers we have counts for
9 papers
Connected Projections of Configuration Spaces of Linkages
Henry C. King
We show that any compact connected semialgebraic set is the projection of a connected component of the configuration space of a linkage.
Morse Cells
Henry C. King
Along with excursions into manifolds with corners, resolution towers of Thom and Whitney stratifications, I show that for a generic gradientlike vector field on a manifold with a M…
Tico Spines
Henry C. King
Any bounding compact smooth manifold bounds a compact manifold with a spine consisting of transversely intersecting codimension one submanifolds. This paper provides details for a…
Connected sum at infinity and Cantrell-Stallings hyperplane unknotting
Jack S. Calcut, Henry C. King, Laurent C. Siebenmann
We give a general treatment of the somewhat unfamiliar operation on manifolds called Connected Sum at Infinity, or CSI for short. A driving ambition has been to make the geometry b…
Birth and death in discrete Morse theory
Henry King, Kevin Knudson, Neza Mramor
Suppose is a finite simplicial complex and that for we have a discrete Morse function $F_{t_i}:M\to \zr$. In this paper, we study the births and deaths of…
Transcendental submanifolds of RP^n
Selman Akbulut, Henry King
In this paper we give examples of closed smooth submanifolds of RP^n which are isotopic to nonsingular projective subvarieties of RP^n but they can not be isotopic to the real part…