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The centralizer of an element z of a group G is the set of elements of G which commute with z, C_G(z)={x in G,xz=zx}. Likewise, the centralizer of a subgroup H of a group G ...

A fake knot (i.e., a knot equivalent to the unknot) created by tying a square knot, then looping one end twice through the knot such that when both ends are pulled, the knot ...

A node which is one graph edge further away from a given node in a rooted tree.

A Chu space is a binary relation from a set A to an antiset X which is defined as a set which transforms via converse functions.

A partially ordered set P is a circle order if it is isomorphic to a set of disks ordered by containment.

A set of class representatives is a subset of X which contains exactly one element from each equivalence class.

A linear operator A:D(A)->H from its domain D(A) into a Hilbert space H is closed if for any sequence of vectors v_n in D(A) such that v_n->v and Av_n->x as n->infty, it ...

A subset of a topological group which is closed as a subset and also a subgroup.

The clove hitch is the hitch illustrated above that is also called the boatman's knot or peg knot.

Let V be a vector space over a field K, and let A be a nonempty set. For an appropriately defined affine space A, K is called the coefficient field.