Remarks on cut-sets

Some Remarks on Connected Sets

This note will consist of a few disconnected remarks on connected sets . i. Swingle2 raised the question whether the plane is the sum of c disjoint biconnected sets . The answer as we shall show is affirmative . First we construct a biconnected set A with a dispersion point x such that any two points of A -x can be separated . (The first such set was constructed by Wilder.-' Our construction wi...

Some remarks on good sets

It is shown that (1) if a good set has finitely many related components, then they are full, (2) loops correspond one-to-one to extreme points of a convex set. Some other properties of good sets are discussed.

Remarks on Stars and Independent Sets

Remarks on Small Sets of Reals

We show that the Dual Borel Conjecture implies that d > א1 and find some topological characterizations of perfectly meager and universally meager sets.

Remarks on "Cut Throat," Illustrated by a Case

I was called one day to see a Sergeant of the 2nd Queen's Eoyals, who had cut his throat with a razor. As we were in i camp, and hia tent within a few paces of mine, little time elapsed before I had secured three small arteries (superior Thyroid) and some veins. I then had time to survey the extent of the damage. There was a clear cut through the thyro-hyoid space, five inches in length, and ex...