- Multigraph of multigraphs
- Academic research
- Volume | Issue number
- 23 | 3
- Pages (from-to)
- Document type
- Interfacultary Research Institutes
- Institute for Logic, Language and Computation (ILLC)
An n-category is a n-graph (a multigraph) with an algebraic structure. We introduce a graph of graphs and, for a k-tuple of natural numbers n(i) ∈ N, an (n(1),...,n(k))-graph: a (n(1),...,n(i))-graph of (n(i+1),...,n(k))-graphs for 1 ≤ i < k. A multigraph of multigraphs include, among others, the concepts of a prefunctor and a prenatural transformation as more fundamental concepts than functor and natural transformation.
The presented formalism gives the appropriate mathematical foundations for multi-scale analysis of hierarchical systems, among other applications. Several examples are considered.
If you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library, or send a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible.