Kaisa_2012_3_photo by Veikko Somerpuro

Enrol

Timetable

Material covered in the lectures:

week 36: Chapter 1, items 1.1-1.11.
week 37: Chapter 1, items 1.12-1.15; Chapter 2, items 2.1-2.17.
week 38: Chapter 2 to the end; Chapter 3, items 3.1-3.14.
week 39: Chapters 4 and 5.
week 40: Chapter 6; Chapter 7, items 7.1-7.9.
week 41: Chapter 7, items 7.10-7.20.
week 42: Chapter 8; Chapter 9, items 9.1-9.6.
week 44: Chapter 9, items 9.7-9.12; Chapter 10, items 10.1-10.6, 10.8.
week 45: Chapter 10, items 10.9, 10.10, 10.12-10.20; Chapter 11, items 11.1-11.5.
week 46: Chapter 11 to the end; Chapter 12, items 12.1-12.19.
week 47: Chapter 12, items 12.20-12.23; Chapter 13, items 13.1-13.20.
week 48: Chapter 13, items 13.21-13.31; Chapter 14.
week 49: Chapter 15, items 15.1-15.22; Chapter 16, items 16.1-16.8.
week 50: Chapter 16, item 16.9; Chapter 17, items 17.1-17.17.5; Chapter 19, items 19.1-19.6.

DateTimeLocation
Wed 4.9.2019
10:15 - 12:00
Mon 9.9.2019
10:15 - 12:00
Wed 11.9.2019
10:15 - 12:00
Mon 16.9.2019
10:15 - 12:00
Wed 18.9.2019
10:15 - 12:00
Mon 23.9.2019
10:15 - 12:00
Wed 25.9.2019
10:15 - 12:00
Mon 30.9.2019
10:15 - 12:00
Wed 2.10.2019
10:15 - 12:00
Mon 7.10.2019
10:15 - 12:00
Wed 9.10.2019
10:15 - 12:00
Mon 14.10.2019
10:15 - 12:00
Wed 16.10.2019
10:15 - 12:00
Mon 28.10.2019
10:15 - 12:00
Wed 30.10.2019
10:15 - 12:00
Mon 4.11.2019
10:15 - 12:00
Wed 6.11.2019
10:15 - 12:00
Mon 11.11.2019
10:15 - 12:00
Wed 13.11.2019
10:15 - 12:00
Mon 18.11.2019
10:15 - 12:00
Wed 20.11.2019
10:15 - 12:00
Mon 25.11.2019
10:15 - 12:00
Wed 27.11.2019
10:15 - 12:00
Mon 2.12.2019
10:15 - 12:00
Wed 4.12.2019
10:15 - 12:00
Mon 9.12.2019
10:15 - 12:00
Wed 11.12.2019
10:15 - 12:00

Other teaching

05.09. - 17.10.2019 Thu 12.15-14.00
31.10. - 12.12.2019 Thu 12.15-14.00
Erik Elfving
Teaching language: English

Material

J. Väisälä: Topology II
Chapters 0-3
Chapters 4-7
Chapters 8-11
Chapters 12-15
Chapters 16-20

Lee: Introduction to topological manifolds, Chapter 1

Solutions to the exam 24.10.2019

Example-exam + solutions

Tasks

Exercise 1 (12.9.2019)

Exercise 2 (17.9.2019)

Exercise 3 (26.9.2019)

Exercise 4 (3.10.2019)

Exercise 5 (10.10.2019)

Exercise 6 (17.10.2019)

Exercise 7 (31.10.2019)

Exercise 8 (7.11.2019)

Exercise 9 (14.11.2019)

Exercise 10 (21.11.2019)

Exercise 11 (28.11.2019)

Exercise 12 (5.12.2019)

Exercise 13 (12.12.2019)

Description

Optional course.

Master's Programme in Mathematics and Statistics is responsible for the course.

Belongs to the Mathematics and Applied mathematics module.

The course is available to students from other degree programmes.

Topology I

Bachelor studies

The course gives a working knowledge in general topology, also called as point-set topology. Material is fundamental in a wide-range of further studies in mathematics, especially in analysis and geometry.

Recommended time/stage of studies for completion: 1. year

Term/teaching period when the course will be offered: varying

Fundamentals of general topology, including: topological spaces and bases, connectedness, compactness, separation and countability axioms, metrization and extension theorems.

Jussi Väisälä "Topologia II", James Munkres "Topology" (Part I)

Lectures and exercise classes

Exam and excercises, Course will be graded with grades 1-5

Exam, other methods will be described later.