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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 2001 • Question 18

Question

Math 6510 • Differentiable Manifolds Fall 2001 • Question 18

Construct carefully a \(\Delta \)-complex structure on \(\mathbb {R}P^2\) and use it to compute homology groups of \(\mathbb {R}P^2\) with \(\mathbb {Z}\) and with \(\mathbb {Z}_2\) coefficients.

Raw LaTeX

Construct carefully a \(\Delta\)-complex structure on \(\mathbb{R}P^2\) and use it
to compute homology groups of \(\mathbb{R}P^2\) with \(\mathbb{Z}\) and with
\(\mathbb{Z}_2\) coefficients.

Topic Tags

Cellular Homology Homology with Coefficients Real Projective Spaces Relative Homology and Long Exact Sequences