Topology I, spring 2016

Last modified by jkennedy@helsinki_fi on 2024/03/27 10:28

Teacher: Juliette Kennedy 

Scope: 10 cr

Type: Intermediate studies

Teaching:

Topics: Sets and Functions, Metric spaces, Topological spaces, compactness and separation

Prerequisites: Calculus and linear algebra

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NOTE TIME CHANGE: THE FINAL EXAM WILL TAKE PLACE ON MAY 4, 14-16, ROOM C122 

News

After a brush-up on the topic of sets and functions we move into the basic theory of metric spaces. From there we move to topological spaces, compactness and separation properties. The aim is to cover chapters 1 through 5 of Simmons book Introduction to Topology and Modern Analysis, but this depends on the students backgrounds.   

Teaching schedule

Weeks 3-9 and 11-18, Tuesday 14-16 and Wednesday 16-18 in room C124.

Easter holiday 24.-30.3.

Exams

2 exams, during weeks 9 and 19. 

Course material

The text for the course is Simmons, Introduction to Topology and Modern Analysis, Krieger Publishing Company; Reprint edition (June 1, 2003). 

Registration

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Exercises

LAST HOMEWORK: REVIEW

 HOMEWORK SETS 1-9: TOPOLOGY_1_HOMEWORK_SETS_1-9.pdf

SOLUTIONS TO FIRST HOMEWORK SET: HomSet1Solutions.pdf

SOLUTIONS TO SECOND HOMEWORK SET  HomSet2Solutions.pdf

SOLUTIONS TO THIRD HOMEWORK SET HomSet3Solutions.pdf

SOLUTIONS TO 4RTH HOMEWORK SET HomSet4Solutions.pdf

SOLUTIONS TO 5TH HOMEWORK SET HomSet5Solutions.pdf

SOLUTIONS TO 6TH HOMEWORK SET HomSet6Solutions.pdf

SOLUTIONS TO 7TH, 8TH HOMEWORK SETS HomSet7Solutions.pdfHomSet8Solutions.pdfHomSet9Solutions.pdf

 

 

Exercise classes

Group

Day

Time

Room

Instructor

1.

Thursday 

12-14 

C122 

Laura  Venieri 

Course feedback

Course feedback can be given at any point during the course. Click here.