Closed and open maps for partial frames

DOI10.1007/S10485-023-09712-5OpenAlexW4324373247MaRDI QIDQ6159704

J. L. Frith, Anneliese Schauerte

Publication date: 8 May 2023

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-023-09712-5

zbMATH Keywords

closed mapframepointsopen map\(\kappa\)-frame\(\sigma\)-frameleft adjointright adjointcongruence frame\(\mathcal{S}\)-framepartial framefree frame over partial frame

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Frames, locales (06D22) Lattice ideals, congruence relations (06B10)

Cites Work

• Variants of openness
• The congruence frame and the Madden quotient for partial frames
• Coverages give free constructions for partial frames
• Variants of Booleanness: congruences of a partial frame versus those of its free frame
• Partial frames and filter spaces
• A special class of congruences on \(\kappa\)-frames
• Complemented sublocales and open maps
• Categories of partial frames
• \(\kappa\)-frames
• Frames and Locales
• On projective Z-frames
• A look at the structure of congruence frames by means of Heyting congruences
• The Stone-Čech compactification of a partial frame via ideals and cozero elements
• Realcompactness and the cozero part of a frame
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Closed and open maps for partial frames