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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Winter 2007 • Question 2

Question

Math 6510 • Differentiable Manifolds Winter 2007 • Question 2

Find a perturbation of the identity map \(\mathbb {R}P^3\to \mathbb {R}P^3\) which is a Lefschetz map and compute its Lefschetz number.

Raw LaTeX

Find a perturbation of the identity map \(\mathbb{R}P^3\to\mathbb{R}P^3\) which is a
Lefschetz map and compute its Lefschetz number.

Topic Tags

Euler Characteristic and Lefschetz Fixed Point Theorem Real Projective Spaces