Nuclear Typing of Frames vs Spatial Selectors

Nuclei which are defined over a class of frames are called nuclear typings. There is the dual notion of a spatial selector, and the relationship between nuclear typings and spatial selectors emanates from the duality between spatial frames and sober spaces. Especially interesting is the interplay between typings that are well-behaved with respect to certain frame quotients and selectors which similarly behave well in passage to closed sets. Mathematics Subject Classification (2000): Primary 06D22, 54A05; Secondary 18B30, 18B35. Key words: frame, nuclear typing, spatial selector, algebraic frame and space, patch, exactness of typing.

• Type: Journal
• Year: 2006
• Where: ACS
• Authors: Jorge Martínez, Eric Richard Zenk
• Keywords: ACS 2006, ACS 2007, Certain Frame Quotients, Nuclear Typings, Spatial Selector