Dror Bar-Natan: AcademicPensieve: Classes: 9596-Topology:

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	Notebook (.pdf)	Source (.nb)	Created	Last Modified	Summary
1	index	source	2024-03-17 11:28:37	2014-01-19 17:13:11

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Syllabus

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March 3: Continuity, topology, basis

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HW1

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March 7: Order topology, products, subset topology

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March 10: Closed sets and proerties

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HW2

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March 14: Open sets and interiors, T2

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March 17: Conditions for continuity, infinite products, metrics

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HW3

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HW3 (2)

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March 21: Products and metrizability, sequences and convergence

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March 24: Convergence, connectedness

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March 28: Connectedness in prodcuts, path connectedness

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April 24: Intersections of open dense sets

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April 18: Intersections of open dense sets, connectivity

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April 21: Compactness

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HW5

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HW7

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April 28: Tychonoff, Stone-Cech

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April 28: Tychonoff, Stone-Cech (2)

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May 2: Urysohn, completely regular spaces, more on Stone-Cech

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May 5: Urysohn, Stone-Cech, Lims

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HW8

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HW8 (2)

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HW9

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HW9 (2)

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May 9: Normal spaces, proof of Urysohn

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May 12: Compactness in metric spaces

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May 26: Surfaces, the classification theorem

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May 30: Quotient spaces, surfaces by identifications

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June 2: Proof of the classification theorem

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June 2: Proof of the classification theorem (2)

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June 6: Euler characteristics, groups

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June 9: Groups, the fundamental group, the fundamental group of the circle

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HW11

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HW10

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June 13: Brauer, the fundamental group of the circle

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June 16: More on fundamental groups, Van-Kampen

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June 20: Van-Kampen examples and proof

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Moed B

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Moed B (2)

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Moed A

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Moed A (2)

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Grade histogram

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Moed B grading key

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Moed Meyukhad

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Evaluation results

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