M8130 Algebraic topology, tutorial 07, 2020 25. 11. 2020
Exercise 1. Every simply connected manifold is orientable.
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M8130 Algebraic topology, tutorial 07, 2020_25. 11. 2020
Exercise 2. Prove the modified Poincare duality with cup product.
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M8130 Algebraic topology, tutorial 07, 2020 25. 11. 2020
Exercise 3. Compute the cohomology ring ofM.Pn with Z/2 coefficients.
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M8130 Algebraic topology, tutorial 07, 2020
25. 11. 2020
Exercise 4. Prove that for connected spaces H*(XVY; R) = H*(X; R)®H*(Y; R) as graded rings.
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M8130 Algebraic topology, tutorial 07, 2020
25. 11. 2020
Exercise 5. Compute the cohomology rings of CP2 x S6 and CP2 V S6.
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M8130 Algebraic topology, tutorial 07, 2020 25. 11. 2020
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