1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.FA2011
Topological Aspects of Differential Chains
Jenny Harrison, Harrison Pugh
In this paper we investigate the topological properties of the space of differential chains 'B(U) defined on an open subset U of a Riemannian manifold M. We show that 'B(U) is not…
math.CV2011★ 1 cited
Generalizations of the Cauchy Integral Theorems
Jenny Harrison, Harrison Pugh
We extend the Cauchy residue theorem to a large class of domains including differential chains that represent, via canonical embedding into a space of currents, divergence free vec…
math.FA2010★ 1 cited
Applications of Differential Chains to Complex Analysis and Dynamics
Harrison Pugh
This thesis is divided into three parts. In the first part, we give an introduction to J. Harrison's theory of differential chains. In the second part, we apply these tools to gene…