Skip to content

Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 2010 • Question 11

Question

Math 6510 • Differentiable Manifolds Fall 2010 • Question 11

Let \(X\) be the cell complex obtained from the circle \(S^1\) by attaching two 2-cells \(e^2_2\) and \(e^2_3\) with attaching maps of degrees 2 and 3 respectively. Compute the fundamental group of \(X\). Carefully state any theorems you are using.

Raw LaTeX

Let \(X\) be the cell complex obtained from the circle \(S^1\) by attaching two
2-cells \(e^2_2\) and \(e^2_3\) with attaching maps of degrees 2 and 3 respectively.
Compute the fundamental group of \(X\). Carefully state any theorems you are using.

Topic Tags

CW Complexes and Cell Attachments Degree Theory Fundamental Groups Homotopy and Degree on Manifolds