INTRODUCTION TO TOPOLOGY
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Date
2025-11-17
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University of M'sila
Abstract
This educational handout, prepared by Professor Abdelaziz Hellal from the University of M'sila, is intended for second-year Mathematics license students (third semester) or Mathematics and Economic Science or the common core stream. It aims to introduce the fundamental concepts of topology, which are essential for advanced mathematical study. The material is based on ten years of teaching experience and covers four main chapters: Metric Spaces, Topological Spaces, Compactness and Connectedness, and finally Normed Vector Spaces. Each chapter includes practical exercises with their solutions at the end of the handout, along with samples of previous exams with answer keys, making it a comprehensive reference for the subject.
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Keywords
Topology, Metric Space, Topological Space, Compactness, Connectedness, Normed Vector Space, Banach Space, Continuity, Continuous Functions, Open and Closed Sets, Homeomorphism, Functional Analysis