Categories of compact and compactly generated Hausdorff locales over a base topos

• Main Author: Τσάμης, Κωνσταντίνος
• Other Authors: Tsamis, Konstantinos
• Language: English
• Published: 2023
• Subjects: Sup-lattices; Frames; Locales; Compact Hausdorrf locales; Compactly generated Hausdorff locales; Topos of Sheaves; Tensor product of frames; Regular category; Exact category; Cartesian closed category; Χώροι χωρίς σημεία; Άνω ημιδικτυωτά; Συμπαγείς χώροι Hausdorff

This thesis is focused on the categories of compact Hausdorff locales and of compactly generated (Hausdorff) ones. Our main contributions have to do with the question of whether they share with the categories of the respective classical topological spaces the property of forming, respectively, a pre...