# Math Help - Hawaiian Earrings & Wedges...

1. ## Hawaiian Earrings & Wedges...

Hi guys,

How can one construct continuous bijections between the wedge of infinitely many circles & the infinite union of circles with radius n & centre (n,0) in R^2?

Also how do you construct a continuous bijection between the latter & the Hawaiian earring?

Thanks x :-)

2. I can sort of see conceptually how to do this, but how would you do this rigorously?

Also, how could you use these 2 continuous bijections to show whether the 1st is a homeomorphism?

Thanks x :-)