- {\displaystyle X} is nonmeager, no set is at the same time
meagre and
comeager,
every comeagre set is nonmeagre, and
there can be
nonmeagre sets 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\}}...
- 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...
- \mathbb {R} } ),
which makes R ∖ D {\displaystyle \mathbb {R} \setminus D} a
comeager subset of R {\displaystyle \mathbb {R} }
whose interior in R {\displaystyle...
-
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...
-
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...
- 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...
- {\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...
-
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...
-
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...
