An algebraic construction for integral Čech cohomology (Q1910737)

Let \(X\) be a compact Hausdorff space. The real Čech cohomology of \(X\) may be obtained from a cohomology construction for the algebra of continuous real valued functions on \(X\) [\textit{C. E. Watts}, Proc. Natl. Acad. Sci. USA 54, 1027--1028 (1965; Zbl 0141.40303)]. In this paper, the author defines a cohomology construction for a pair consisting of a commutative algebra, and a space associated to the algebra, which yields the integral Čech cohomology of \(X\) in a special case.