English

Interor and h operators on the category of locales

Category Theory 2022-05-02 v1

Abstract

We present the concept of interior operator II on the category Loc\mathbf{Loc} of locales and then we construct a topological category \linebreak (I-Loc, U)\big(\mathbf{I\text{-}Loc},\ U\big), where U:I-LocLocU:\mathbf{I\text{-}Loc}\rightarrow \mathbf{Loc} is a forgetful functor; and we also introduce the notion of h\mathfrak h operator on the category Loc\mathbf{Loc} and discuss some of their properties for constructing the topological category (h-Loc, U)\big(\mathbf{\mathfrak h\text{-}Loc},\ U\big) associated to the forgetful functor U:h-LocLocU:\mathbf{\mathfrak h\text{-}Loc}\rightarrow \mathbf{Loc}.

Keywords

Cite

@article{arxiv.2204.13795,
  title  = {Interor and h operators on the category of locales},
  author = {JoaquÍn Luna-Torres},
  journal= {arXiv preprint arXiv:2204.13795},
  year   = {2022}
}

Comments

arXiv admin note: text overlap with arXiv:2010.05284 by other authors