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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 1995 • Question 14

Question

Math 6510 • Differentiable Manifolds Fall 1995 • Question 14

Consider the domain \(D\) in \(\mathbb {R}^3\) which is the complement to the union of two unit balls with centers at the points \((0,0,2)\) and \((0,2,0)\). Calculate \(H_2(D,\mathbb {Z})\).

Raw LaTeX

Consider the domain \(D\) in \(\mathbb{R}^3\) which is the complement to the
union of two unit balls with centers at the points \((0,0,2)\) and \((0,2,0)\). Calculate
\(H_2(D,\mathbb{Z})\).

Topic Tags

Fundamental Groups