Journal of Advances in Mathematics and Computer Science

Exponential Objects in Categories of Generalized Uniform Hypergraphs

Martin Schmidt *

Department of Mathematics and Informatics, Chiba University, Chiba, Japan.

*Author to whom correspondence should be addressed.

---

Abstract

We construct exponential objects in categories of generalized uniform hypergraphs and use embeddings induced by nerve-realization adjunctions to show why conventional categories of graphs and hypergraphs do not have exponential objects.

Keywords: Graph, hypergraph, uniform hypergraph, exponential object

---

---