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12 votes
0 answers
259 views

Higher homotopical information in racks and quandles

A quandle is defined to be a set $Q$ with two binary operations $\star,\bar\star\colon\ Q\times Q\to Q$ for which the following axioms hold. Q1. a $\star$ a = a Q2. (a $\star$ b) $\bar\star$ b = (a $\...
Nicola Di Vittorio's user avatar
9 votes
2 answers
873 views

Higher order quandle

The notion of quandle is known to be closely related to knot theory. The three axioms in the definition of quandle correspond to the Reidemeister moves. Recently I learned that there are higher ...
Dai Tamaki's user avatar
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