Monthly Archives: August 2019

Topological wildness vs. algebraic wildness

What does “wildness” really refer to? I’ll post about higher dimensional wildness soon but to avoid getting too general, I’m going to focus on a more specific question: what does it mean for a space to have a wild fundamental … Continue reading

Posted in Uncategorized | 2 Comments

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