Category Archives: Hawaiian earring

Testing the limits of Eda’s Theorem

With everything going on, it’s been a bit tough to find time to post about the things I’d like to. I’ve promised posts about topological homotopy groups for a while but I want to do those right, so it may … Continue reading

Posted in Examples, Fundamental group, Hawaiian earring, Homotopy theory, Uncategorized | Tagged , , , | Leave a comment

Shape injectivity of the earring space (Part II)

This is the sequel to Shape injectivity of the earring space (Part I) We’re on our way to proving the canonical homomorphism from the earring group to the inverse limit of free groups is injective. Part I was mostly dedicated … Continue reading

Posted in Dendrite, Free groups, Fundamental group, Hawaiian earring, Inverse Limit, Peano continuum, Shape theory, Tree, Uncategorized | 3 Comments

Shape injectivity of the earring space (Part I)

One of my posts where I did some substantial hand-waving is my original post on the fundamental group of the earring space. I wrote about how to understand and work with this group, but I never gave a proof of … Continue reading

Posted in Free groups, Fundamental group, Hawaiian earring, Inverse Limit, Tree | 8 Comments