On infinite variants of De Morgan law in locale theory

Igor Arrieta

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