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...

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...

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...

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...

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...

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...

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}...

measurable set of positive measure meets both the Bernstein set and its complement, as does every set with the property of Baire that is not a meagre set. Oxtoby...

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...

mathematics, a porous set is a concept in the study of metric spaces. Like the concepts of meagre and measure zero sets, a porous set can be considered "sparse"...

function because a Baire class 1 function can only be discontinuous on a meagre set. For any real number x and any positive rational number T, 1 Q ( x + T...

namely, meagre set with a set of measure zero, comeagre set with one of full measure, and a set with the Baire property with a measurable set. Srivastava...

Open set Clopen set Fσ set Gδ set Compact set Relatively compact set Regular open set, regular closed set Connected set Perfect set Meagre set Nowhere...

Darboux's theorem. The set of discontinuities of f must be a meagre set. This set must also be an F-sigma set (since the set of discontinuities of any...

a dense open set, or more generally on a residual set, with the dual concept being a nowhere dense set, or more generally a meagre set. There are several...

Baire category theorem Nowhere dense Baire space Banach–Mazur game Meagre set Comeagre set Compact space Relatively compact subspace Heine–Borel theorem Tychonoff's...

a meagre set". Some use a more limited definition, where a subset contains almost all of the space's points only if it contains some open dense set. Example:...

invariants associated with this and other ideals, e.g. the ideal of meagre sets, plus more which do not have a characterisation in terms of ideals. If...

subsets of X {\displaystyle X} is called meagre. The rational numbers, while dense in the real numbers, are meagre as a subset of the reals. A topological...

Halhed's 1778 "A Grammar of the Bengal Language" which he compiled from a meagre set of six Bengali manuscripts. When Halhed turned to Warren Hastings for...

unbounded set Cofinal (mathematics) Cofinite Dense set IP set 2-large Large set (Ramsey theory) Meagre set Measure zero Natural density Negligible set Nowhere...

Argyrosomus regius, also known as the meagre, croaker, jewfish, shade-fish, sowa, kir, corvina, salmon-bass or stone bass, is a species of fish of the...

farmer in the area, had relocated up from the arid Rift Valley with its meagre rivers and a relentless dusty wind that gave Gilgil its name. And so, after...

category in Y {\displaystyle Y} (a set is of the first category or meagre if it is the countable union of nowhere-dense sets). If Y {\displaystyle Y} is a...

many of the results published by Riemann, he also gave an example of a meagre set which is not negligible in the sense of measure theory, since its measure...

D-generic filter meager meagre A meager set is one that is the union of a countable number of nowhere-dense sets. Also called a set of first category. measure...

Meagre If X is a space and A is a subset of X, then A is meagre in X (or of first category in X) if it is the countable union of nowhere dense sets....

Frumusanu, Andrei (September 15, 2020). "Apple Announces 5nm A14 SoC - Meagre Upgrades, Or Just Less Power Hungry?". AnandTech. Archived from the original...