Tag Archives: reduced path

Homotopically Reduced Paths (Part II)

Understanding this post requires reading Part I where I explain what reduced paths are and how we might go about proving they exist. In this second part, I’ll go into detail about how to use Zorn’s lemma to identifying a … Continue reading

Posted in Fundamental groupoid, reduced paths | Tagged , , , , , , , | 1 Comment

Homotopically Reduced Paths (Part I)

The topic of this post focuses on a general concept that is heavily used in the wild topology world. Writing this post has been a fun exploration I’ve been meaning to spend time on for a while now. I will … Continue reading

Posted in Fundamental group, Homotopy theory | Tagged , | 2 Comments