Skip to content

Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Spring 2013 • Question 8

Question

Math 6510 • Differentiable Manifolds Spring 2013 • Question 8

Let \(X=\mathbb {R}\mathrm {P}^2\vee \mathbb {R}\mathrm {P}^2\). Give an example of an irregular covering space \(\widetilde {X}\to X\). You should draw the picture of the 1-skeleton of \(\widetilde {X}\) (make sure 2-cells lift).

Raw LaTeX

Let \(X=\RP^2\vee\RP^2\). Give an example of an irregular covering space
\(\widetilde{X}\to X\). You should draw the picture of the 1-skeleton of
\(\widetilde{X}\) (make sure 2-cells lift).

Topic Tags

Classification of Covering Spaces Covering Spaces Free Groups, Graph Coverings, and Presentations Real Projective Spaces