5 citations · 11 across the 6 of their papers we have counts for
6 papers
Families of similar simplices inscribed in most smoothly embedded spheres
Jason Cantarella, Elizabeth Denne, John McCleary
Let denote a non-degenerate -simplex in . The set of simplices in similar to is diffeomorphic to $O(k)\times [0,\infty)\time…
Square-like quadrilaterals inscribed in embedded space curves
Jason Cantarella, Elizabeth Denne, John McCleary
The square-peg problem asks if every Jordan curve in the plane has four points which are the vertices of a square. The problem is open for continuous Jordan curves, but it has been…
Configuration Spaces, Multijet Transversality, and the Square-Peg Problem
Jason Cantarella, Elizabeth Denne, John McCleary
We prove a transversality "lifting property" for compactified configuration spaces as an application of the multijet transversality theorem: given a submanifold of configurations o…
String homology, and closed geodesics on manifolds which are elliptic spaces
J. D. S. Jones, J. McCleary
Let be a closed simply connected smooth manifold. Let $\F_p$ be the finite field with elements where is a prime integer. Suppose that is an $\F_p$-elliptic space…
Transversality for Configuration Spaces and the "Square-Peg" Theorem
Jason Cantarella, Elizabeth Denne, John McCleary
We prove a transversality "lifting property" for compactified configuration spaces as an application of the multijet transversality theorem: the submanifold of configurations of po…
Borsuk-Ulam Theorems for Complements of Arrangements
Pavle V. M. Blagojevic, Aleksandra S. Dimitrijevic Blagojevic, John McCleary
In combinatorial problems it is sometimes possible to define a -equivariant mapping from a space of configurations of a system to a Euclidean space for which…