Mathematics: Introduction to Algebraic Topology

Education facts

Code: MATM44

<p>The course is an introduction to the modern theory of algebraic topology, important for further studies in the subject and in relevant areas of physics and other areas.</p><p>The course treats:<br /> • homotopy theory, the fundamental group, covering spaces<br /> • the Brouwer fixed point theorem, the Borsuk-Ulam theorem<br /> • deformation retracts, fundamental groups and homology of surfaces<br /> • surgery of manifolds, also called "cutting and pasting"<br /> • the construction and classification of compact surfaces.</p><p>https://maths.lu.se/english/education/all-courses/courses-faculty-of-science/</p>

Entry requirements

For admission to the course, English 6/B as well as at least 90 credits, with at least 60 credits in mathematics are required, including knowledge corresponding to the courses MATB22 Linear Algebra 2, 7.5 credits, MATB23 Analysis in Several Variables 2, 7.5 credits, and MATM33 Differential Geometry, 7.5 credits.

Education offerings

Each offering has its own dates and conditions. Closed offerings are retained as history and do not mean that a new application is open.

• Mathematics: Introduction to Algebraic Topology

  Lund University

  Start date: 19 January 2026

  End date: 7 June 2026

  Pace of study: 25 %