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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Spring 2011 • Question 3

Question

Math 6510 • Differentiable Manifolds Spring 2011 • Question 3

Define a deformation retract. Construct a 2-dimensional cell complex that contains both an annulus \(S^1\times I\) and a Möbius band as deformation retracts.

Raw LaTeX

Define a deformation retract. Construct a 2-dimensional cell complex that
contains both an annulus \(S^1\times I\) and a M\"obius band as deformation
retracts.

Topic Tags

CW Complexes and Cell Attachments Homotopy Equivalence, Retracts, and Contractibility