America's Scientific Treasures: A Travel Companion (Cohen, Paul S.; Cohen, Brenda H.)

Paul J. Cohen and the Continuum Problem

On the occasion of the award of a prize to Paul Cohen, and in spite of significant contributions by him to analysis, to topological groups, and to the theory of differential equations, I believe that the audience will agree that it is appropriate to devote the entire time allowed for exposition to the continuum problem. For here is another case, of the sort which arises from time to time in the...

A characterization of shellable and sequentially Cohen-Macaulay

We consider a class of hypergraphs called hypercycles and we show that a hypercycle $C_n^{d,alpha}$ is shellable or sequentially the Cohen--Macaulay if and only if $nin{3,5}$. Also, we characterize Cohen--Macaulay hypercycles. These results are hypergraph versions of results proved for cycles in graphs.

2 Albert Cohen , Ronald A

Models of Cohen measurability

We show that in contrast with the Cohen version of Solovay’s model, it is consistent for the continuum to be Cohen-measurable and for every function to be continuous on a non-meagre set.

Adam Cohen Thesis