topological methods in ese |
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ese 680 : fall 2008 : university of pennsylvania |
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The lectures are nearly completed… 22 is up |
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information:
professor: robert ghrist text: i'll write one. eventually. lecture notes: in .pdf (big files) |
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links:
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date |
topic |
notes |
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homework |
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3 sep |
1: welcome & what is topology |
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none yet! |
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8 sep |
2: point-set topology |
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10 sep |
3: manifolds |
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15 sep |
4: differential topology |
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17 sep |
5: combinatorial topology |
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29 sep |
6: complexes |
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1 oct |
7: topological invariants |
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6 oct |
8: winding numbers / degree |
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8 oct |
9: fundamental group |
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15 oct |
10: covering spaces & homotopy |
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20 oct |
11: homology |
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22 oct |
12: exact sequences |
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27 oct |
13: sensor networks |
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29 oct |
14: euler characteristic |
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3 nov |
15: homology theories |
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10 nov |
16: degree theory |
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12 nov |
17: basic morse theory |
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17 nov |
18: more morse theory |
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19 nov |
19: cohomology via calculus |
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24 nov |
20: cohomology via algebra |
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26 nov |
21: bundles & obstructions |
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1 dec |
22: category & covers |
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3 dec |
23: things you know / don’t know |
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