Publication detail

Cartesian closedness in categories with an idempotent closure operator and closed morphisms

ŠLAPAL, J.

English title

Cartesian closedness in categories with an idempotent closure operator and closed morphisms

Type

WoS Article

Language

en

Original abstract

Given a subobject-structured category X, we construct a new category whose objects are the pairs (X, c) where X is an X- object and c is an idempotent, monotonic and extensive endomap of the subobject lattice of X, and whose morphisms between objects are the closed maps between the corresponding subobject lattices. We give a sufficient condition on X for the new category to be cartesian closed.

Keywords in English

Subobject-structured category; Categorical closure operator; Cartesian closed category

Released

2022-02-10

Publisher

SPRINGER BASEL AG

Location

BASEL

ISSN

0001-9054

Volume

96

Number

1

Pages from–to

129–136

Pages count

8

BIBTEX


@article{BUT171723,
  author="Josef {Šlapal}",
  title="Cartesian closedness in categories with an idempotent closure operator and closed morphisms",
  journal="Aequationes Mathematicae",
  year="2022",
  volume="96",
  number="1",
  pages="129--136",
  doi="10.1007/s00010-020-00772-9",
  issn="0001-9054",
  url="https://link.springer.com/article/10.1007/s00010-020-00772-9"
}