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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Spring 2014 • Question 1

Question

Math 6510 • Differentiable Manifolds Spring 2014 • Question 1

Let \(M\) be a smooth compact manifold without boundary and \(\Delta \subset M\times M\) the diagonal. Show that \(\Delta \) is not the boundary of a compact manifold \(W\subset M\times M\).

Raw LaTeX

Let \(M\) be a smooth compact manifold without boundary and
\(\Delta\subset M\times M\) the diagonal. Show that \(\Delta\) is not the boundary of
a compact manifold \(W\subset M\times M\).

Topic Tags

Homotopy and Degree on Manifolds Smooth Manifolds and Embedded Submanifolds Stokes' Theorem and Integration on Manifolds