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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 2007 • Question 11

Question

Math 6510 • Differentiable Manifolds Fall 2007 • Question 11

Give an example of a space \(X\) such that \(H_1(X;\mathbb {Z})\cong \mathbb {Z}/2\) and \(H_2(X;\mathbb {Z})\cong \mathbb {Z}\).

Raw LaTeX

Give an example of a space \(X\) such that
\(H_1(X;\Z)\cong\Z/2\) and \(H_2(X;\Z)\cong\Z\).

Topic Tags

Fundamental Groups