Čech cohomology and covering dimension for the \(H^ \infty\) maximal ideal space
The author shows that the \(n\)-Čech cohomology groups of the \(H^ \infty\) maximal ideal space \((X(H^ \infty))\) are trivial for \(n\geq 2\), and that single elements of \(H^ \infty\) separate points from closed sets in \(X(H^ \infty)\). These results are used to prove that the covering dimension of \(X(H^ \infty)\) is 2.
scientific article; zbMATH DE number 635900