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Tag Archives: infinite word
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
What is an infinite word?
In this post, we’ll explore the idea of noncommutative infinitary operations on groups, that is, multiplying together infinitely many elements in a group. This idea arises very naturally in “wild” or “infinitary” algebraic topology. In fact, lately, this has been … Continue reading