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Category Archives: Infinite Group Theory
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
Infinite Commutativity (Part II)
In Infinite Commutativity: Part I, I described infinite commutativity in general terms with some basic examples, including real infinite series. In this post, I’ll discuss how the homotopy groups , are more than just abelian in the ordinary sense. Their … Continue reading