Sheaf Theory as a Mathematical Foundation for Distributed Applications Involving Heterogeneous Data Sets

摘要

The goal of the present article is to demonstrate a mathematical modeling for distributed applications. The present paper applies tools from topology and sheaf theory as an appropriate mathematical modeling to reflect interactions among elements of distributed applications resources. Simplicial complexes are topological models for the network structure. Behavior of the objects in distributed network system are represented by sheaves. This modelling is applied for the study of the wild fire threat.