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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 1996 • Question 10

Question

Math 6510 • Differentiable Manifolds Fall 1996 • Question 10

Give an explicit construction of the Hopf fibration \(h:S^3\to S^2\) and argue that \(h\) is not null-homotopic.

Section II. Pick four of the following eight questions to answer:

Raw LaTeX

Give an explicit construction of the Hopf fibration
\(h:S^3\to S^2\) and argue that \(h\) is not null-homotopic.

\textbf{Section II. Pick four of the following eight questions to answer:}

Topic Tags

Homotopy Equivalence, Retracts, and Contractibility Homotopy and Degree on Manifolds