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.

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.

The course is given

- in English - in the first half of spring

#### Course information 2021

- Lecturer: Tatiana Shulman
- Schedule 2021

#### Course information 2020

- Lecturer: Jeffrey Steif
- Schedule 2020

#### Course information 2018

- Lecturer: Genkai Zhang
- Schedule 2018

#### Course information 2017

- Lecturer: Genkai Zhang
- Schedule 2017

#### Course information 2016

- Lecturer: Genkai Zhang
- Schedule

#### Course information 2015

- Lecturer: Genkai Zhang
- Schedule

#### Course information 2014

- Examiner: Genkai Zhang
- Schedule

#### Course information 2013

- Examiner: Genkai Zhang
- Schedule

#### Course information 2012

- Examiner: Genkai Zhang
- Schedule

#### Course information 2011

- Examiner: Jan Alve Svensson
- Schedule

#### Course information 2010

- Examiner: Jan Alve Svensson
- Schedule

- The course is cancelled.

#### Course information 2008

- Examiner: Jan Alve Svensson
- Schedule