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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Winter 2007 • Question 14

Question

Math 6510 • Differentiable Manifolds Winter 2007 • Question 14

Define carefully a CW structure on \(\mathbb {R}P^n\) (you don’t have to prove it here), and use it to compute \(H_*(\mathbb {R}P^n;\mathbb {Q})\) and \(H_*(\mathbb {R}P^n;\mathbb {Z}/2)\).

Raw LaTeX

Define carefully a CW structure on \(\mathbb{R}P^n\) (you don't have to prove it
here), and use it to compute \(H_*(\mathbb{R}P^n;\mathbb{Q})\) and
\(H_*(\mathbb{R}P^n;\mathbb{Z}/2)\).

Topic Tags

Homology with Coefficients Real Projective Spaces