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Tweets
Tweets by jtbrazas-
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Tag Archives: earring group
The earring group is not free (Part II)
This post is Part II in an explanation of why the fundamental group of the earring space is not a free group. I’ll be referencing the notation and results that we worked through in Part I. Recall that the earring group is … Continue reading
The earring group is not free (Part I)
The main goal of this two-part post will be to study the homomorphisms out of the earring group. Click here to get to Part II. In particular, we’ll end up concluding that the set of homomorphisms to the additive group … Continue reading
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
Wild Topology 