Study Programmes 2015-2016
| MATH0234-2 | ||||||||
| Boolean Topology and Boolean Algebra | ||||||||
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Duration :
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| 30h Th, 10h Pr, 20h Mon. WS | ||||||||
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Number of credits :
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Lecturer :
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| Georges Hansoul | ||||||||
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Language(s) of instruction :
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| French language | ||||||||
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Organisation and examination :
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| Teaching in the second semester | ||||||||
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Units courses prerequisite and corequisite :
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| Prerequisite or corequisite units are presented within each program | ||||||||
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Course contents :
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| Boolean rings and Boolean algebras. Stone duality in a categorical setting. Possible other topics : denumerable Boolean algebras and Vaught theorem, modal algebras, natural dualities, ... |
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Learning outcomes of the course :
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| Introduction to the methods of algebraic logic, with a hint to research topics. This course is in fact a 3rd cycle examination. |
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Prerequisite knowledge and skills :
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| Basic abstract algebra, basic universal algebra, rudiments of topology (including Tychonoff theorem). | ||||||||
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Planned learning activities and teaching methods :
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| The exercices are aimed both to illustrate the theoretical part of the course and to develop some intuition in algebraic logic. | ||||||||
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Mode of delivery (face-to-face ; distance-learning) :
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| One semester course at the Institute of Mathematics (B37). | ||||||||
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Recommended or required readings :
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| Syllabus. | ||||||||
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Assessment methods and criteria :
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| To both session, an oral examination (theory and exercices). |
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Work placement(s) :
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Organizational remarks :
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Contacts :
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| 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 CAVUS Rukiye Phone : 04/366.94.04 E-mail : R.Cavus@ulg.ac.be |
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