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Joins of closed sublocales, coframes of sublocales, and frames of sublocales
 
 
Description: 

Topics to be covered:

1. The frame Sc(L) of joins of closed sublocales of a locale L; motivation (scatteredness).
2. The relation of Sc(L) to the coframe of sublocales S(L).
3. Sc(L) as a "discrete cover" of L, modelling discontinuity.
4. Comparing Sc(L) with the frame of sublocales S(L)op. Advantages, but also a disadvantage.
5. The problem of characterization of S(L) among general coframes, why it would be nice to know more about it.

 

Date:  2017-09-12
Start Time:   17:00
Speaker:  Aleš Pultr (Charles Univ., Prague, Czech Republic)
Institution:  Charles Univ., Prague, Czech Republic
Place:  Room 5.5
Research Groups: -Algebra, Logic and Topology
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