Study Programmes 2016-2017
MATH0234-2  
Boolean Topology and Boolean Algebra
Duration :
30h Th, 10h Pr, 20h Mon. WS
Number of credits :
Master in mathematics (120 ECTS)10
Lecturer :
Georges Hansoul
Language(s) of instruction :
French language
Organisation and examination :
Teaching in the second semester
Units courses prerequisite and corequisite :
Prerequisite or corequisite units are presented within each program
Learning unit contents :
Boolean rings and Boolean algebras.

Stone duality in a categorical setting.

Possible other topics : denumerable Boolean algebras and Vaught theorem, modal algebras, natural dualities, ...
Learning outcomes of the learning unit :
Introduction to the methods of algebraic logic, with a hint to research topics.

This course is in fact a 3rd cycle examination.
Prerequisite knowledge and skills :
Basic abstract algebra, basic universal algebra, rudiments of topology (including Tychonoff theorem).
Planned learning activities and teaching methods :
The exercices are aimed both to illustrate the theoretical part of the course and to develop some intuition in algebraic logic.
Mode of delivery (face-to-face ; distance-learning) :
One semester course at the Institute of Mathematics (B37).
Recommended or required readings :
Syllabus.
Assessment methods and criteria :
To both session, an oral examination (theory and exercices).
Work placement(s) :
Organizational remarks :
Contacts :
HANSOUL Georges
Institute of Mathematics - B37
Office 059
Grande Traverse, 12 - 4000 Liege
(Sart Tilman)
Phone : 04/366.94.69
Fax : 04/366.96.47
E-mail : G.Hansoul@ulg.ac.be


Julien RASKIN
Phone : 04/366.94.32
E-mail : J.Raskin@ulg.ac.be
 
Laurent DE RUDDER
Phone : 04/366.94.06
E-mail : L.DeRudder@ulg.ac.be