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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6520 • Algebraic Topology

Fall 2023 • Question 6

Question

Math 6520 • Algebraic Topology Fall 2023 • Question 6

Construct a \(\Delta \)-complex structure on \(\mathbb {R}P^2\) and use it to calculate the cohomology groups \(H^i(\mathbb {R}P^2;\mathbb {Z}_2)\) and the cup product structure.

Raw LaTeX

Construct a \(\Delta\)-complex structure on \(\mathbb{R}P^2\) and use it to calculate the
cohomology groups \(H^i(\mathbb{R}P^2;\mathbb{Z}_2)\) and the cup product structure.

Topic Tags

Cohomology and Cup Products Homology with Coefficients Real Projective Spaces