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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 2017 • Question 2

Question

Math 6510 • Differentiable Manifolds Fall 2017 • Question 2

Prove that there is no immersion of the \(n\)-sphere into \(\mathbb {R}^n\).

Raw LaTeX

Prove that there is no immersion of the \(n\)-sphere into \(\R^n\).

Topic Tags

Immersions, Submersions, and Embeddings