Topology

Utbildningsfakta

Kod: MMA100

In this course you will study the basic concepts of set topology, which is used in almost all modern mathematics. From analysis in several variables you will be familiar with the space R^n and its concept of distance. Instead of using the concept of distance between points, topology begins by designating a collection of subsets of a fixed set as open sets. From this, we will build up the theory of topological spaces and continuous functions. Classical continuity arguments can now be used in new situations. An interesting question to ask is whether two spaces are equivalent (homeomorphic). Sometimes we can see that the answer is "no" by using compactness or connectedness; a compact space cannot be homeomorphic with a non-compact one, nor a connected space with a non-connected one. These topological invariants are quite coarse. A finer invariant is the fundamental group of a topological space, which also connects the subject with algebra.

Behörighet

Knowledge equivalent to 90 credits in mathematics, including the course MMG500 Algebraic Structures.

Utbildningstillfällen

Varje tillfälle har egna datum och villkor. Avslutade tillfällen behålls som historik och innebär inte att en ny ansökan är öppen.

• Topology

  University of Gothenburg

  Startdatum: 19 januari 2026

  Slutdatum: 22 mars 2026

  Studietakt: 50 %