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Category Archives: harmonic archipelago
The Griffiths twin cone and the harmonic archipelago have isomorphic fundamental group (Part 2)
This is Part 2 of a guest post by Sam Corson, who is a Heibronn Fellow at the University of Bristol. It will be helpful to read Part 1 first. We will furthermore overload the notation used for word concatenation … Continue reading
The Griffiths twin cone and the harmonic archipelago have isomorphic fundamental group (Part 1)
This is a guest post by Sam Corson, who is a Heibronn Fellow at the University of Bristol. This first post will provide background on the infinite word combinatorics which are used in the description of the fundamental group of … Continue reading
Homotopically Hausdorff Spaces (Part II)
In my post homotopically Hausdorff spaces (Part I), I wrote aboutÂ the property which describes the existence of loops that can be deformed into arbitrarily small neighborhoods but which are not actually nullhomotopic, i.e. can’t be deformed all the way back … Continue reading