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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 1998 • Question 17

Question

Math 6510 • Differentiable Manifolds Fall 1998 • Question 17

Let \(X=S^1\vee S^2\vee T^2\) be the one point union. Compute \(\pi _1(X)\) and show that \(\pi _2(X)\) is infinitely generated.

Raw LaTeX

Let \(X=S^1\vee S^2\vee T^2\) be the one point union. Compute \(\pi_1(X)\) and
show that \(\pi_2(X)\) is infinitely generated.

Topic Tags

Fundamental Groups Homotopy Groups