4 papers
Cubiquitous Lattices and Branched Covers bounding rational balls
Erica Choi, Nur Saglam, Jonathan Simone +2
Greene and Owens explore cubiquitous lattices as an obstruction to rational homology 3-spheres bounding rational homology 4-balls. The purpose of this article is to better understa…
A K-Theory approach to characterize admissible physical manifolds
Patrick Linker, Cenap Ozel, Alexander Pigazzini +3
We will classify physically admissible manifold structures by the use of Waldhausen categories. These categories give rise to algebraic K-Theory. Moreover, we will show that a univ…
Grid dissections of tangential quadrilaterals
Erica Choi, Dan Ismailescu, Jiho Lee +1
For any integer , a square can be partitioned into smaller squares via a checkerboard-type dissection. Does there such a class-preserving grid dissection exist for so…
Rays and souls in von Mangoldt planes
Igor Belegradek, Eric Choi, Nobuhiro Innami
We study rays in von Mangoldt planes, which has applications to the structure of open complete manifolds with lower radial curvature bounds. We prove that the set of souls of any r…