Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Question: Construct a simply connected covering which a subspace of $\mathbb R^3$ of union of a sphere and a circle intersecting in two points.

My idea: First of all note that union of a sphere and a circle intersecting in two points is homotopy equivalent to $S^2$ wedge figure 8, then take the simply connected covering for figure 8 (which is tree) and then insert a $S^2$ everywhere the point of intersection.

share|cite|improve this question

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.