Difference between revisions of "Algebraic Topology II - 2019"
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1. Define Cohomology with compact supports. | 1. Define Cohomology with compact supports. | ||
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2. Calculate Cohomology with compact supports of R^n. | 2. Calculate Cohomology with compact supports of R^n. | ||
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3. Does a map f:X -> Y induce a map on the cohomologies with cpt support? | 3. Does a map f:X -> Y induce a map on the cohomologies with cpt support? | ||
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4. Do homotopic spaces have the same cohomologies with cpt support? | 4. Do homotopic spaces have the same cohomologies with cpt support? | ||
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5. Is the cup product well defined on cohomology with cpt support? | 5. Is the cup product well defined on cohomology with cpt support? | ||
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6. State the Poincaré duality theorem for (not neccesarrily cpt) manifolds. | 6. State the Poincaré duality theorem for (not neccesarrily cpt) manifolds. | ||
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7. Show that H_c^i(X x R;G)=H_c^i-1(X;G) | 7. Show that H_c^i(X x R;G)=H_c^i-1(X;G) | ||
Revision as of 08:13, 26 August 2019
Joel, 26.08.2019 9:30-10:00
1. Define Cohomology with compact supports.
2. Calculate Cohomology with compact supports of R^n.
3. Does a map f:X -> Y induce a map on the cohomologies with cpt support?
4. Do homotopic spaces have the same cohomologies with cpt support?
5. Is the cup product well defined on cohomology with cpt support?
6. State the Poincaré duality theorem for (not neccesarrily cpt) manifolds.
7. Show that H_c^i(X x R;G)=H_c^i-1(X;G)
