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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 1998 • Question 6

Question

Math 6510 • Differentiable Manifolds Fall 1998 • Question 6

Let \(X=S^1\times \mathbb {R}\). Find the de Rham cohomology of \(X\) in two ways.

  1. Using de Rham’s Theorem.
  2. Directly from the definition.

Raw LaTeX

Let \(X=S^1\times\mathbb{R}\). Find the de Rham cohomology of \(X\) in two ways.
\begin{enumerate}
\item Using de Rham's Theorem.
\item Directly from the definition.
\end{enumerate}

Topic Tags

Cohomology and Cup Products Homology with Coefficients de Rham Cohomology