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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Spring 2020 • Question 11

Question

Math 6510 • Differentiable Manifolds Spring 2020 • Question 11

Construct a \(\Delta \)-complex structure for \(\mathbb {R}\mathrm {P}^2\) and use it to calculate the homology, cohomology and cup product structure for \(\mathbb {R}\mathrm {P}^2\) with \(\mathbb {Z}_2\)-coefficients.

Raw LaTeX

Construct a \(\Delta\)-complex structure for \(\RP^2\) and use it to calculate
the homology, cohomology and cup product structure for \(\RP^2\) with
\(\Z_2\)-coefficients.

Topic Tags

Cohomology and Cup Products Homology with Coefficients Pullbacks and Wedge Products Real Projective Spaces