Sheaf Theory as a Mathematical Foundation for Distributed Applications Involving Heterogeneous Data Sets
2018 32nd International Conference on Advanced Information Networking and Applications Workshops
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.
"Sheaf Theory as a Mathematical Foundation for Distributed Applications Involving Heterogeneous Datasets", Seyed M-H Mansourbeigi, IEEE AINA 32ndinternational Conference on Advanced Information Networking and Applications Workshops, pp: 28-33, DOI 10.1109/WAINA.2018.00059, (2018).