In knot theory, a branch of topology, a Brunnian link is a nontrivial link that becomes a set of trivial unlinked circles if any one component is removed. In other words, cutting any loop frees all the other loops (so that no two loops can be directly linked).
The name Brunnian is after Hermann Brunn. Brunn's 1892 article Über Verkettung included examples of such links.
== Examples ==
The best-known and simplest possible Brunnian link is the Borromean rings, a link of three unknots. However for every number three or above, there are an infinite number of links with the Brunnian proper...
I have a question about Proposition 1.17 in Deligne and Milne, Tannakian Categories (see here), in the last 4 lines of the proof.
I don't why it follows from $U\otimes U\simeq U$ that $T=\ker(U\to U^\vee\otimes U)=0$ (or the largest subobject $T$ of $U$ such that $T\otimes U=0$ is $0$). Even ...2
Brunnian links consist of $n$ linked un-knot components such that the cutting of any component leaves all components unconnected. The most famous example is the three-component Borromean rings (or links). In 1954 Milnor classified all Brunnian links up to link homotopy.
In $\mathbb{R}^3$, it ...
59
