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📘 B.Sc. 2nd Year | 4th Semester
📚 Paper: Sequence and Series
📌 Unit–1: Topology of Real Numbers
🎯 Lesson: Properties of Compact Sets
Welcome to Maths Mastery with Dr. Upasana P. Taneja ✨
In this lecture, we study the important properties of compact sets, which are central to many results in topology and real analysis.
Understanding these properties helps in solving proof-based questions and builds a strong foundation for advanced topics like continuous functions, convergence, and compactness theorems.
🔹 Topics covered in this lecture:
✔ Basic properties of compact sets
✔ Compact sets are closed and bounded (idea)
✔ Finite union of compact sets
✔ Closed subsets of compact sets
✔ Continuous image of a compact set (conceptual idea)
✔ Important results frequently asked in exams
This lecture is highly useful for:
B.Sc. & M.Sc. Mathematics students
CSIR NET
GATE
IIT JAM
University examinations
📖 For detailed theory and written explanations, you can also read my blogs at:
👉 upasanataneja.blogspot.com
📌 Watch the full lecture to strengthen your conceptual and proof-based understanding.
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