Answer by Lee Mosher for Why are free objects "free"?
Jakob Nielsen's 1921 paper in Danish, with the title "Om Regning med ikke-kommutative Factorer og den Anvendelse i Gruppetoerien", is where he proved that subgroups of free groups are free. I don't...
View ArticleAnswer by Carlo Beenakker for Why are free objects "free"?
Free objects were first defined* by MacLane in Duality for Groups. That paper gives "free" a curious political context, I quote from page 486:Call the dual (in this sense) of a free (nonabelian) group...
View ArticleWhy are free objects "free"?
What is the origin/motivation for the adjective "free" in the term "free object"?Does it refer to them coming "for free" (as being constructed from a set in a straight-forward manner) or does it refer...
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