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[ 201GEOMINTV24 ] VL Introduction to topology
Versionsauswahl
Workload Education level Study areas Responsible person Hours per week Coordinating university
3 ECTS B3 - Bachelor's programme 3. year Mathematics Bert Jüttler 2 hpw Johannes Kepler University Linz
Detailed information
Original study plan Bachelor's programme Technical Mathematics 2025W
Learning Outcomes
Competences
Students are familiar with basic concepts and methods as well as properties of mathematical objects in the field of topology.
Skills Knowledge
  • use different descriptions of topological objects;
  • analyze properties of topological objects;
  • re-derive proofs of classical theorems of topology;
  • categorize topological concepts and classify objects according to the properties they describe,
Concepts and results related to topological spaces and manifolds, bases and countability, subspaces, product spaces, quotient spaces, compactness and cell complexes.
Criteria for evaluation Final Exam
Methods Lecture
Language English
Study material John M. Lee. Introduction to Topological Manifolds. Second Edition. Springer (2011)

James Munkres. Topology. Second Edition. Pearson (2000)

Changing subject? No
Further information Prerequisites are Linear Algebra and Analysis 1
Earlier variants They also cover the requirements of the curriculum (from - to)
TM1WLVOTOPO: VO Introduction to topology (2003S-2024S)
On-site course
Maximum number of participants -
Assignment procedure Direct assignment