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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...

(respectively comeager). The set { x ∈ X : A x  is meager (resp. comeager) in  Y } {\displaystyle \{x\in X:A_{x}{\text{ is meager (resp. comeager) in }}Y\}}...

theorem of Baire, for every Baire-1 function the points of continuity are a comeager Gδ set (Kechris 1995, Theorem (24.14)). An example of a Baire class 2 function...

sense: the set of nowhere-differentiable real-valued functions on [0, 1] is comeager in the vector space  C([0, 1]; ℝ)  of all continuous real-valued functions...

measurable set Perfect set property Universally Baire set Meager set Comeager set - A comeager set is one whose complement is meager. Null set Conull set Dense...

{\displaystyle X} . If X {\displaystyle X} is a topological space, the comeager subsets of X {\displaystyle X} , i.e., those whose complement is meager...

Every string in every alphabet occurs within a lexicon. A set is called "comeager" or "residual" if it contains the intersection of a countable family of...

\mathbb {R} } ), which makes R ∖ D {\displaystyle \mathbb {R} \setminus D} a comeager subset of R {\displaystyle \mathbb {R} } whose interior in R {\displaystyle...

which case A is meager, or I has a winning strategy, in which case A is comeager on some open neighborhood[1]. This does not quite imply that A has the...

{\displaystyle P_{1}} has a winning strategy if and only if X {\displaystyle X} is comeager in some non-empty open subset of Y . {\displaystyle Y.} If X {\displaystyle...

use the term stronger. Comeagre A subset A of a space X is comeagre (comeager) if its complement X\A is meagre. Also called residual. Compact A space...