English

A note on the category of c-spaces

Logic in Computer Science 2023-06-22 v2 Category Theory

Abstract

We prove that the category of c-spaces with continuous maps is not cartesian closed. As a corollary the category of locally finitary compact spaces with continuous maps is also not cartesian closed.

Keywords

Cite

@article{arxiv.2211.12734,
  title  = {A note on the category of c-spaces},
  author = {Z. Lyu and X. Xie and H. Kou},
  journal= {arXiv preprint arXiv:2211.12734},
  year   = {2023}
}

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5 pages