Topology of Metric Spaces
| Title | ΤΟΠΟΛΟΓΙΑ ΜΕΤΡΙΚΩΝ ΧΩΡΩΝ / Topology of Metric Spaces |
| Code | 0204Α |
| Faculty | Sciences |
| School | Mathematics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter/Spring |
| Common | No |
| Status | Active |
| Course ID | 600019631 |
Programme of Study: UPS of School of Mathematics (2014-today)
Registered students: 358
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| Core | Compulsory Course | Winter/Spring | - | 6 |
| Academic Year | 2021 – 2022 |
| Class Period | Spring |
| Instructors from Other Categories |
|
| Weekly Hours | 4 |
| Class ID | 600187105
|
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600187105
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
Prerequisites
Required Courses
- 0301 Analytic Geometry I
- 0202 Calculus II
General Competences
- Apply knowledge in practice
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
Course Content (Syllabus)
Basic notions of the Set Theory - Metric spaces - Topology of metric spaces
- Convergence of sequences - Continuous functions - Compactness and Connectedness of
metric spaces.
Description: Texts of Algebra, Analysis, Geometry, Set Theory and Computer Science.
Instructors: N. Anastasiou, F. Kapetaniou, M. Papageorgiou.
Algebraic Structures
Keywords
metric space, topology of metric space.
Educational Material Types
- Notes
- Book
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 52 | 1.7 | |||
| Reading Assigment | 125 | 4.2 | |||
| Exams | 3 | 0.1 | |||
| Total | 180 | 6 |
Student Assessment
Student Assessment methods
- Written Exam with Short Answer Questions (Formative, Summative)
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
- Εισαγωγή στην Τοπολογία, Χ.Καρυοφύλλης, Χ.Κωνσταντιλάκη, Αφοί Κυριακίδη Εκδόσεις Α.Ε., 2017
- Γενική Τοπολογία, Δ. Γεωργίου-Σ. Ηλιάδης, Εκδ. Τζιόλα
- Τοπολογία Μετρικών Χώρων, Θ. Κυβεντίδης, Ζήτη, 2009
- Τοπολογία, Π. Τσαμάτος, Εκδ. Τζιόλα, 2016
Last Update
22-07-2020
