Undergraduate Course: General Topology (MATH10076)
|School||School of Mathematics
||College||College of Science and Engineering
|Credit level (Normal year taken)||SCQF Level 10 (Year 4 Undergraduate)
||Availability||Available to all students
|Summary||This course will introduce students to essential notions in topology, such as topological spaces, continuous functions, and compactness.
Topological spaces. Continuous functions. Compactness, connectedness, path-connectedness. Identification spaces.
Entry Requirements (not applicable to Visiting Students)
|| Students MUST have passed:
Metric Spaces (MATH10101)
||Other requirements|| A pass in Honours Analysis (MATH10068) in 2020-21 or earlier is an acceptable substitute for a pass in Metric Spaces (MATH10101)
Information for Visiting Students
|Pre-requisites||Visiting students are advised to check that they have studied the material covered in the syllabus of each prerequisite course before enrolling.
|High Demand Course?
Course Delivery Information
|Academic year 2022/23, Available to all students (SV1)
|Learning and Teaching activities (Further Info)
Lecture Hours 22,
Seminar/Tutorial Hours 5,
Summative Assessment Hours 2,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
|Assessment (Further Info)
|Additional Information (Assessment)
|No Exam Information
On completion of this course, the student will be able to:
- State and prove standard results regarding topological spaces and continuous functions, and decide whether a simple unseen statement about them is true, providing a proof or counterexample as appropriate.
- 2. Calculate simple topological invariants, such as the number of path components.
- State and prove standard results regarding compact and/or connected topological spaces, and decide whether a simple unseen statement about them is true, providing a proof or counterexample as appropriate.
- Provide an elementary example illustrating specified behaviour in relation to a given combination of basic definitions and key theorems across the course.
|Graduate Attributes and Skills
|Course organiser||Dr Clark Barwick
Tel: (0131 6)50 5073
|Course secretary||Mrs Alison Fairgrieve
Tel: (0131 6)50 5045