Lebesgue spine

The Lebesgue spine is a concept from measure theory, specifically in the context of Lebesgue integration and the study of measurable sets and functions. It refers to a specific construction related to the decomposition of measurable sets. More precisely, the Lebesgue spine is often associated with a particular subset of the Euclidean space that is built by taking a measurable set and considering a family of "spines" or "slices" that cover it.