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| Semester | fall semester 2020 |
| Course frequency | Irregular |
| Lecturers | Egor Yasinsky (yahor.yasinsky@unibas.ch, Assessor) |
| Content | Structures and spaces: topological spaces, metric spaces, bases. Position of a point with respect to a set: interior, exterior, boundary. Continuous maps, homeomorphisms. Topological constructions. Topological properties: connectedness, path connectedness, compactness. Separation axioms. Tychonoff theorem. Elements of algebraic topology. Homotopy. Fundamental groups. Depending on time, we shall spend some time in the topological zoo: graphs, surfaces (maybe even classification of those). |
| Learning objectives | Die Studierenden - verstehen fundamentale topologische Begriffe und Zusammenhänge, - können diese in verschiedenen Teilbereichen der Mathematik erkennen und anwenden, - können Fundamentalgruppen verwenden. |
| Bibliography | Lecture script Klaus Jänich, Topologie. Springer-Verlag Berlin Heidelberg, 2005 A. B. Sossinsky, Topology I. Independent University of Moscow |
| Weblink | Vorlesungshomepage |
| Admission requirements | Algebra I, Analysis I. |
| Language of instruction | English |
| Use of digital media | No specific media used |
| Course auditors welcome |
| Interval | Weekday | Time | Room |
|---|
No dates available. Please contact the lecturer.
| Modules |
Module: Algebra and Number Theory (Bachelor's Studies: Mathematics) |
| Assessment format | main lecture exam |
| Assessment details | Written final exam (solving problems + some theory). It is mandatory to hand in exercises every week. They are evaluated by assistants, who gave you the points. To participate in the final exam, you have to get about 60% of points in total. |
| Assessment registration/deregistration | Reg.: in 'course reg.'; dereg.: Dean of Std. Off. in writing |
| Repeat examination | one repetition, best attempt counts |
| Scale | 1-6 0,5 |
| Repeated registration | no repetition |
| Responsible faculty | Faculty of Science, studiendekanat-philnat@unibas.ch |
| Offered by | Fachbereich Mathematik |