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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Spring 2019 • Question 7

Question

Math 6510 • Differentiable Manifolds Spring 2019 • Question 7

Let \(G\) be any group. Construct a connected topological space whose fundamental group is isomorphic to \(G\). Justify your answer.

Raw LaTeX

Let \(G\) be any group. Construct a connected topological space whose
fundamental group is isomorphic to \(G\). Justify your answer.

Topic Tags

Fundamental Groups Point-Set Topology and Separation Theorems