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Finite Intersection Property | Important Theorem on FIP | Compactness in Topology

Maths With Yash

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Finite Intersection Property | Important Theorem on FIP | Compactness in Topology

392 просмотра · 1 г. назад
Maths With Yash
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392 просмотра · 1 г. назад
In this video, we first talk about Finite Intersection Property and Fixed and Free classes of Set. Then, we prove that a Topological Space X is Compact iff every collection of closed sets having FIP has non empty intersection. Thanks for watching 😊❤️ Subscribe to my channel:    / @yes2maths   Playlists on channel-    • Topology      • Integral Equations      • Functional Analysis      • Inner Product Spaces (Linear Algebra)      • Linear Algebra      • Bilinear Forms (Linear Algebra)      • Lp Spaces (Measure Theory)      • Laguerre Polynomials      • Hermite Polynomials      • Convergence of Infinite Series      • Measure Theory      • Lebesgue Integral playlist      • Sequence and Series of Functions      • Real Analysis      • Operations Research      • Special Functions      • Boundary Value Problem   keywords - homeomorphism in Topology #topologicalspace #topology #mscmath #universitymath #advancedmaths