In the mathematical field of general topology, a meagre set (also called a meager set or a set of first category) is a subset of a topological space that...

the notion of strongly meagre set, defined as follows: A set M ⊆ R is strongly meagre if and only if A + M ≠ R for every set A ⊆ R of Lebesgue measure...

follows is based on the notions of meagre (or first category) set (namely, a set that is a countable union of sets whose closure has empty interior) and...

not nowhere dense. A countable union of nowhere dense sets is called a meagre set. Meagre sets play an important role in the formulation of the Baire...

set is a meagre set (or a set of first category) as a subset of [0,1] (although not as a subset of itself, since it is a Baire space). The Cantor set...

that is not a stationary set Thin set can also refer to thin set mortar. Meagre set Shrinking space Slender group Small set Thin category This disambiguation...

collection of meagre sets of reals whose union is the entire real line. These are invariants in the sense that any two isomorphic models of set theory must...

size of subsets and Haar null sets. Haar null sets have been used in Polish groups to show that when A is not a meagre set then A − 1 A {\displaystyle A^{-1}A}...

Look up meager or meagre in Wiktionary, the free dictionary. Meager or Meagre may refer to: Meagre set (also meager set) in mathematics Mount Meager (British...

result of Stefan Banach states that the set of functions that have a derivative at some point is a meagre set in the space of all continuous functions...