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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 2001 • Question 1

Question

Math 6510 • Differentiable Manifolds Fall 2001 • Question 1

Let \(X\) and \(Y\) be two submanifolds of \(\mathbb {R}^n\). Show that there is \(a\in \mathbb {R}^n\) such that \(X+a=\{x+a\mid x\in X\}\) and \(Y\) are transverse.

Raw LaTeX

Let \(X\) and \(Y\) be two submanifolds of \(\mathbb{R}^n\). Show that there is
\(a\in\mathbb{R}^n\) such that \(X+a=\{x+a\mid x\in X\}\) and \(Y\) are transverse.

Topic Tags

Smooth Manifolds and Embedded Submanifolds Transversality and Intersection Theory