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| MATH0212-1 | General Topolgy | |||||
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| Duration : | 30h Th, 10h Pr | |||||
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| Holder(s) : | Pierre Mathonet | |||||
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| Course contents : | The following topics will be presented : The general definition of a topology, neighbourhoods of points, interior, closure and boundary of a set. We will study the continuity of mappings and define the initial and final topologies. We will deal with subspaces, product spaces, quotient spaces and actions of topological groups. The axioms of separation will be studied. The last sections will be devoted to the definitions and properties of compact spaces and connected spaces. | |||||
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| Course objective : | This course is an introduction to general tolpology. Its main aim is the abstract definition and study of concepts such as continuity of mappings, connectedness, compactness ... These notions are usually defied in the first course in analysis for Euclidean spaces. They will be generalized for arbitrary sets. | |||||
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| Prerequisites : | None | |||||
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| Organization : | The course will be scheduled by the department of mathematics. There will be more or less three hours a week. | |||||
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| Written notes : | The lecture notes of Professor M. De Wilde will be available from the first lesson. | |||||
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| Assessment : | A written examination of exercises will be organized. There will also be an oral examination. The students will be asked to develop one of the themes dealt with in the theoretical course. | |||||
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| Contacts : | Pierre Mathonet Department of mathematics, Grande Traverse,12, B37 4000 Liège Belgium Phone : +32 (0)4 366 94 80 Email : P.Mathonet@ulg.ac.be | |||||
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ULg : Students and Studies Administration - Academic Affairs
Contact : Monique Marcourt, direction A.E.E.
Date of data : 27/02/2006
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