Retrieving "Lebesgue Measure" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. Cardinality

   Linked via "Lebesgue measure"

   Cardinality of Non-Measurable Sets
   The Axiom of Choice (AC) permits the construction of sets that defy standard Lebesgue measure, such as the Vitali set. The cardinality of such exotic sets is frequently related to $\aleph_1$ or $c$, though their non-measurability suggests they occupy a dimension just beyond the grasp of standard physical description.
   Comparison Table of Initial Cardinalities