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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 1994 • Question 12

Question

Math 6510 • Differentiable Manifolds Fall 1994 • Question 12

Let \(X\) be a connected, locally arcwise connected, semilocally simply connected, compact metric space. Show that \(\pi _1(X,x_0)\) is finitely generated.

Raw LaTeX

Let \(X\) be a connected, locally arcwise connected, semilocally simply
connected, compact metric space. Show that \(\pi_1(X,x_0)\) is finitely generated.

Topic Tags

Fundamental Groups Homotopy Groups