1. algebraic geometry Scheme theory affine scheme (1) zariski topology and vanishing set

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  2. Compactness & Extreme Value Theorem: Last Lecture! – Lecture 22 (Topology)

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  3. Algebraic topology: real projective space and its fundamental group

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  4. introduction to topology: homeomorphism

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  5. Basic topology open set and closed set

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  6. Compactness & Open Covers – Lecture 21 (Topology)

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  7. Introduction to Topology: open set, closed set, definition

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  8. Basic topology: finiteness, countable, uncountable

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  11. Lecture 19 (Topology) Connectedness, Homeomorphisms, and the IVT

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  12. Lecture 16 (Topology) Metric Spaces

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  13. Lecture 18 (Topology) Connected Topological Spaces

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  14. Lecture 17 (Topology) Properties of Metric Spaces and Isometries

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  15. Lecture 15 (Topology) Continuity and Homeomorphisms

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  16. Lecture 11 (Topology) Limit Points and Boundaries

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  17. Lecture 9 (Topology) Closed Sets

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  18. Lecture 4 (Topology) Relations and Functions

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  19. Lecture 3 (Topology) Set Theoretical Relations

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  20. Lecture 10 (Topology) Interior and Closure of Sets

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  22. Lecture 14 (Topology) Continuity and the Epsilon-Delta Definition

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