Čech cohomology and covering dimension for the \(H^ \infty\) maximal ideal space
type: Item
instance of: scholarly article
title: Čech cohomology and covering dimension for the \(H^ \infty\) maximal ideal space
zbMATH Open document ID: 0808.46076
author: Daniel Suárez
published in: Journal of Functional Analysis
publication date: 1994-09-08T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 46J20
Mathematics Subject Classification ID: 46J15
Mathematics Subject Classification ID: 46M20
zbMATH DE Number: 635900
zbMATH Keywords: \(n\)-Čech cohomology groups
zbMATH Keywords: \(H^ \infty\) maximal ideal space
zbMATH Keywords: covering dimension
MaRDI profile type: Publication
full work available at URL: jfan.1994.1088
OpenAlex ID: W1981237728
DOI: 10.1006/JFAN.1994.1088
description: scientific article; zbMATH DE number 635900