English

Exponential Objects in Categories of Generalized Uniform Hypergraphs

Combinatorics 2018-07-26 v1 Category Theory

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

Cite

@article{arxiv.1807.09345,
  title  = {Exponential Objects in Categories of Generalized Uniform Hypergraphs},
  author = {Martin Schmidt},
  journal= {arXiv preprint arXiv:1807.09345},
  year   = {2018}
}
R2 v1 2026-06-23T03:13:14.400Z