Category Archives: earring space

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 earring space, Free groups, Fundamental group, Inverse Limit, Shape homotopy group, Shape theory, Tree | Tagged , , , , , | 9 Comments

Celebrating the Career and Contributions of Katsuya Eda: Master of the Earring Group

Last week, I had the pleasure of speaking at the Arches Topology Conference in Moab, Utah. The conference was in honor of the career and contributions of Katsuya Eda, who retired not too long ago. K. Eda considers himself a … Continue reading

Posted in Algebraic Topology, Conferences, earring space, Fundamental group, Singular homology | Leave a comment

Homotopically Hausdorff Spaces (Part II)

In my post homotopically Hausdorff spaces (Part I), I wrote about the property which describes the existence of loops that can be deformed into arbitrarily small neighborhoods but which are not actually null-homotopic, i.e. can’t be deformed all the way back … Continue reading

Posted in Algebraic Topology, earring space, Fundamental group, Group homomorphisms, harmonic archipelago, homotopically Hausdorff, Homotopy theory | Tagged , , , | 2 Comments