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Week
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Topics
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Study Metarials
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1
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Open and closed sets in IR^{n}
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R1-Section-2
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2
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Relative neighborhoods, continuity
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R1-Section-2
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3
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Compact and connected sets
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R1-Section-2
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4
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Product and quotient spaces, identification space
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R1-Section-3
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5
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Complexes
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R1-Section-4
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6
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Surfaces, surfaces with boundary
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R1-Section-4, R2-Section-5
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7
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Connected sum, classification of surfaces
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R1-Section-4, R2-Section-6
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8
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Triangulations, simplicial complexes
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R1-Section-4, R2-Section-5
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9
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Graph and trees
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R1-Section-5, R2-Section-8
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10
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The Euler characteristic and the sphere
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R1-Section-5
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11
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The Euler characteristic and surfaces
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R1-Section-5, R2-Section-10
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12
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Directed Complexes
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R1-Section-6
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13
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The algebra of chains
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R1-Section-6, R2-Section-12
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14
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Homology groups
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R1-Section-6, R2-Section-13
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