Courses: MAT242 Topology - Autumn 2017
Credits
10.0Language of Instruction
English
Teaching semester
Autumn
Objectives and Content
One studies topological spaces. An important part is to attach algebraic and combinatorial invariants to these spaces.
Learning Outcomes
After successful completion of the course the student will be able to: - Give basic properties and results related to topological spaces and algebraic topology.
- Describe and give examples of the product topology, subspace topology, metric topology and the quotient topology and be able to deduce the basic properties of these topologies.
- Explain the main ideas in the proof of Urysohns metrization theorem, including Urysohns lemma, and the the Borsuk-Ulam theorem.
- Explain the main ideas leading to the development of the fundamental group of the circle and the n-sphere.
Required Previous Knowledge
Recommended Previous Knowledge
MAT121 Linear Algebra and MAT211 Real Analysis
Compulsory Assignments and Attendance
Forms of Assessment
Oral examination
Grading Scale
The grading scale used is A to F. Grade A is the highest passing grade in the grading scale, grade F is a fail.
Subject Overlap
Contact Information
advice@mi.uib.no