Igor Arrieta

collaborators

2 papers

math.CT2020

The coframe of D-sublocales of a locale and the $T_{D}$ duality

Igor Arrieta, Anna Laura Suarez

The notion of \emph{D-sublocale} is explored. This is the notion analogue to that of sublocale in the duality of $T_{D}$ spaces. A sublocale $S$ of a frame $L$ is a D-sublocale if and…

math.GN2020

On infinite variants of De Morgan law in locale theory

Igor Arrieta

A locale, being a complete Heyting algebra, satisfies De Morgan law $(a \lor b)^{*} = a^{*} \land b^{*}$ for pseudocomplements. The dual De Morgan law $(a \land b)^{*} = a^{*} \lor b^{*}$ (here r…

The coframe of D-sublocales of a locale and the TD​ duality

On infinite variants of De Morgan law in locale theory

The coframe of D-sublocales of a locale and the $T_{D}$ duality