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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 2017 • Question 9

Question

Math 6510 • Differentiable Manifolds Fall 2017 • Question 9

Show that \(\pi _1(\Sigma _2)\) contains \(\pi _1(\Sigma _3)\) as a normal subgroup.

Raw LaTeX

Show that \(\pi_1(\Sigma_2)\) contains \(\pi_1(\Sigma_3)\) as a normal subgroup.

Topic Tags

Fundamental Groups Homotopy Groups