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Topology

Master's level | 7.5 credits | Course code: MMA100
Spring 2020
50% Day
Göteborg
Period: 20 January 2020 - 22 March 2020
INSTRUCTION LANGUAGE: English
2) Only EU/EEA citizens and students with approved residence permit in Sweden can apply

About the Course

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.

More Information

http://www.chalmers.se/sv/in...

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Course Syllabus

MMA100

Requirements and Selection

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

Selection: All eligible applicants who have applied before the deadline will be granted a place.

Tuition Fee

Application fee: 900 SEK
Full course cost: 14 550 SEK
First payment: 14 550 SEK

EU/EEA citizens, Swedish residence permit holders and exchange students do not pay fees. More information on: http://www.universityadmissions.se

Study Guidance

svl.math@gu.se, tel: 031-772 3505

Department

Department of Mathematical Sciences
41296 Göteborg

Visiting address: Chalmers Tvärgata 3

Phone: 0317721000

Page Manager: Pontus Sundén
Last update: 6/15/2018 12:12 PM

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Page Manager: Pontus Sundén|Last update: 10/16/2018
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