Examples of 'baire' in a sentence
Meaning of "baire"
Baire is not a recognized English word. It seems to be a specific term, abbreviation, or jargon not commonly used in English language
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- A surname.
How to use "baire" in a sentence
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baire
Functions of first baire class.
Baire category theorem.
This is a consequence of the Baire category theorem.
X is a Baire space if the interior of every such negligible set is empty.
Determinacy for open sets in the Baire space.
A space is a Baire space if any intersection of countably many dense open sets is dense.
Thus every completely metrizable topological space is a Baire space.
The Baire space is often represented using the tree of finite sequences of natural numbers.
The concept is important to formulate the Baire category theorem.
The Baire category theorem says that every complete metric space is a Baire space.
Perfect sets are particularly important in applications of the Baire category theorem.
The Baire category theorem gives sufficient conditions for a topological space to be a Baire space.
The following corollary is also called the Baire category theorem.
A homeomorphism between Baire space and the irrationals can be constructed using continued fractions.
This fact is one of the equivalent forms of the Baire category theorem.
See also
This shows that the Baire category theorem applies to the space of irrational numbers.
It is used to investigate the notion of continuous reduction for subsets of Baire space.
This makes the regularity conditions unnecessary as Baire measures are automatically regular.
A Baire set is a set whose characteristic function is a Baire function.
The universe of our study is the borelian hierarchy and Baire classes.
A space X is a Baire space if it is not meagre in itself.
Meager sets play an important role in the formulation of the Baire category theorem.
The product of two Baire spaces is not necessarily Baire.
Every locally compact Hausdorff space is a Baire space.
Every open subspace of a Baire space is a Baire space.
They ran a monthly journal called Gharey Baire.
Any open subspace of a Baire space is itself a Baire space.
Baire Baire property.
Every arithmetical subset of Cantor space or Baire space is a Borel set.
In practice Baire measures can be replaced by regular Borel measures.
In particular, take advantage of the Baire category theorem.
In general Baire sets and Borel sets need not be the same.
For this reason, it is more common to study Baire space.
For metric spaces the Baire sets are the same as Borel sets.
The Baire class 0 functions are the continuous functions.
The family of sets with the property of Baire forms a σ-algebra.
Every Baire set is a Borel set.
We first note that that such function are at most of Baire class 2.
A topological space X is a Baire space if and only if every comeagre subset of X is dense.
Every infinite game formula 6 in which formula 7 is a Borel subset of Baire space is determined.
Elements of Baire space are referred to as " reals.
The spaces are named in honor of René-Louis Baire who introduced the concept.
The Baire category theorem ( BCT ) is an important tool in general topology and functional analysis.
In fact, any metrizable Volterra space is Baire.
Any Baire probability measure on any locally compact σ-compact Hausdorff space is a regular measure.
In particular, the Vitali set does not have the property of Baire.
Every Baire space is Volterra, but the converse is not true.
This shows that the Dirichlet function is a Baire class 2 function.
Equivalently, X is a Baire space if the intersection of countably many dense open sets is dense.
The concept of a Banach - Mazur game is closely related to the concept of Baire spaces.
