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Research Article Open access CC BY 4.0

Exponential Objects in Categories of Generalized Uniform Hypergraphs

Martin Schmidt

Journal of Advances in Mathematics and Computer Science · pp. 1–16 · Published 21 Sep 2018

10.9734/JAMCS/2018/44037

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.

Graph hypergraph uniform hypergraph exponential object

References (6)

  1. 1 Categories for the Working Mathematician [DOI]
  2. 2 Graphs of Morphisms of Graphs [DOI]
  3. 3 Categories with models [DOI]
  4. 4 Generic figures and their glueings: A constructive approach to functor categories
  5. 5 Categorical constructions in graph theory [DOI]
  6. 6 The categories of graphs

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