Tag Archives: earring space

The Harmonic Archipelago

Another fascinating space that receives a lot of attention is the so-called harmonic archipelago which is the following subspace of . You can describe the construction like this: Start by drawing the usual earring space onto a solid disk in … Continue reading

Posted in Algebraic Topology, earring space, Fundamental group, harmonic archipelago | Tagged , , , , , | 11 Comments

The fundamental group of the earring space

Here is one of my favorite spaces: The earring space, i.e. the “shrinking wedge of circles.” This space is the first step into the world of “wild” topological spaces. This post is meant to be an introduction into how one … Continue reading

Posted in Algebraic Topology, earring group, earring space, Fundamental group, Homotopy theory | Tagged , , , , , , | 20 Comments