Instruction

Name Cr Method of study Time Location Organiser
Topology II 10 Cr General Examination 10.6.2020 - 10.6.2020
Topology II 10 Cr General Examination 5.8.2020 - 5.8.2020
Name Cr Method of study Time Location Organiser
Cancelled CANCELLED: Topology II 10 Cr Online Examination 1.4.2020 - 1.4.2020
Topology II 10 Cr General Examination 5.2.2020 - 5.2.2020
Topology II 10 Cr Lecture Course 4.9.2019 - 16.12.2019
Topology II 10 Cr General Examination 7.8.2019 - 7.8.2019
Topology II 10 Cr General Examination 12.6.2019 - 12.6.2019
Topology II 10 Cr General Examination 13.3.2019 - 13.3.2019
Topology II 10 Cr General Examination 12.12.2018 - 12.12.2018
Topology II 10 Cr Lecture Course 5.9.2018 - 16.12.2018
Topology II 10 Cr General Examination 8.8.2018 - 8.8.2018
Topology II 10 Cr General Examination 13.6.2018 - 13.6.2018
Topology II 10 Cr General Examination 11.4.2018 - 11.4.2018
Topology II 10 Cr General Examination 10.1.2018 - 10.1.2018
Topology II 10 Cr Examinarium (electronic exam room) 8.11.2017 - 28.8.2019
Topology II 10 Cr General Examination 20.9.2017 - 20.9.2017
Topology II 10 Cr Lecture Course 5.9.2017 - 14.12.2017

Target group

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.

Prerequisites

Topology I

Learning outcomes

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.

Timing

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

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

Contents

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

Activities and teaching methods in support of learning

Lectures and exercise classes

Study materials

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

Assessment practices and criteria

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

Recommended optional studies

Bachelor studies

Completion methods

Exam, other methods will be described later.