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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Spring 2009 • Question 10

Question

Math 6510 • Differentiable Manifolds Spring 2009 • Question 10

Let \(X\) be a contractible \(CW\)-complex and attach an \(n\)-cell to \(X\) for each positive even dimension \(n\) to form a new \(CW\)-complex \(X'\).

Raw LaTeX

Let \(X\) be a contractible \(CW\)-complex and attach an \(n\)-cell to \(X\) for
each positive even dimension \(n\) to form a new \(CW\)-complex \(X'\).

Topic Tags

Homotopy Equivalence, Retracts, and Contractibility