1st semester

Second Class License Academic  
Semester: 03 
Teaching Unit:  Fundamental Teaching
Subject:  Introductory to Topology  ( Introduction à la Topologie )
Credits: 6 
Coefficient: 3
Evaluation Method: Exam (60%), Continuous Assessment (40%)
Responsible Instructor:  Abdelaziz Hellal

Email Address:  abdelaziz.hellal@univ-msila.dz

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Contents:

Chapter 01- Topological and Metric Spaces
Chapter 02- Complete Metric Spaces
Chapter 03- Compact and  Connected Topological Spaces
Chapter 04- Normed Vector Spaces
Chapter 04- Some Applications

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What is a topology ?
Topology is an area of Mathematics, which studies how spaces are organized and how they are structured in terms of position. It also studies how spaces are connected. It is divided into algebraic topology, differential topology and geometric topology.
These some significant series introduces topology, covering topics fundamental to modern analysis and geometry. It also deals with subjects like topological spaces and continuous functions, connectedness, compactness, separation axioms, and selected further topics such as function spaces, metrization theorems, embedding theorems and the fundamental group.