Page Layout
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Dates |
Description |
(Additional) Readings |
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21st Jan |
Introduction to the Course |
David Gale, The Game of Hex and Brouwer fixed point theorem (1979) |
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28th and 31st Jan |
Jordan Curve Thm: |
Jordan Curve Theorem (preliminary version) |
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4th and 11th Feb |
Schoenflies theorem |
Edwin Moise, Geometric Topology in Dimensions 2 and 3, Sections: 1-4 and 9 |
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18th and 25th Feb |
Triangulation and Classification Thms for 2-manifolds |
Doyle and Moran, A Short Proof that Compact 2-Manifolds
Can Be Triangulated (1968) |
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3rd March |
An Introduction to hyperplane arrangement |
Richard Stanley, An Introduction to hyperplane arrangement Lectures 1 and 2 |
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Additional Topics: |
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Fundamental Group, Homology Groups, and Stanley-Reisner Ideals |
Armstrong, Basic Topology Sections: 5 and 8 for Fundamental group and Homology groups |
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The standard ref for Stanley-Reisner theory is Stanley's Combinatorics and Commutative Algebra |
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