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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Spring 2017 • Question 10

Question

Math 6510 • Differentiable Manifolds Spring 2017 • Question 10

Construct a \(\Delta \)-complex structure on \(\mathbb {R}\mathrm {P}^3\) and use it to compute the cohomology rings of \(\mathbb {R}\mathrm {P}^3\) with \(\mathbb {Z}\) and \(\mathbb {Z}_2\) coefficients.

Raw LaTeX

Construct a \(\Delta\)-complex structure on \(\RP^3\) and use it to compute
the cohomology rings of \(\RP^3\) with \(\Z\) and \(\Z_2\) coefficients.

Topic Tags

Cohomology and Cup Products Homology with Coefficients Real Projective Spaces de Rham Cohomology