nLab
rational cohomology

Contents

Context

Rational homotopy theory

Cohomology

cohomology

Special and general types

Special notions

Variants

Extra structure

Operations

Theorems

Contents

Idea

By rational cohomology one usually means ordinary cohomology with rational number coefficients, denoted H (,)H^\bullet\big(-, \mathbb{Q}\big).

Hence, with the pertinent conditions on the domain space XX satisfied, its rational cohomology H (,)H^\bullet\big(-, \mathbb{Q}\big) is what is computed by the Cech cohomology or singular cohomology or sheaf cohomology of XX with coefficients in \mathbb{Q}.

Last revised on October 6, 2019 at 10:18:13. See the history of this page for a list of all contributions to it.