# 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: 738
OrientationAttendance TypeSemesterYearECTS
CoreCompulsory CourseWinter/Spring-6

 Academic Year 2020 – 2021 Class Period Winter Instructors from Other Categories Georgios Kelgiannis 52hrs Weekly Hours 4 Class ID 600166599
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
• Face to face
Digital Course Content
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
Lectures521.7
Exams30.1
Total1806
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