We provide a game theoretical proof of the fact that if f is a function from a zero-dimensional Polish space to NN that has a point of continuity when restricted to any non-empty compact subset, then f is of Baire class 1. We use this property of the restrictions to compact sets to give a generalisation of Baire’s grand theorem for functions of any Baire class
It is well known that if the nonempty player of the Banach–Mazur game has a winning strategy on a sp...
It is well known that if the nonempty player of the Banach–Mazur game has a winning strategy on a sp...
It is well known that if the nonempty player of the Banach–Mazur game has a winning strategy on a sp...
Abstract. A classical theorem of Kuratowski says that every Baire one function on a G subspace of a ...
Perhaps the earliest results about pointwise compact sets of Baire class-1 functions are the two sel...
In his thesis Baire defined functions of Baire class 1. A function f is of Baire class 1 if it is th...
Abstract. Let X be a Polish space and K a separable compact subset of the first Baire class on X. Fo...
Using a game-theoretic characterization of Baire spaces, conditions upon the domain and the range ar...
In this thesis we give an exposition of the notion of category and the Baire category theorem as a s...
In this thesis we give an exposition of the notion of category and the Baire category theorem as a s...
summary:We prove that each linearly continuous function $f$ on $\mathbb R^n$ (i.e., each function co...
summary:We prove that each linearly continuous function $f$ on $\mathbb R^n$ (i.e., each function co...
In this thesis we give an exposition of the notion of category and the Baire category theorem as a s...
summary:We prove that each linearly continuous function $f$ on $\mathbb R^n$ (i.e., each function co...
We give a new characterization of the Baire class 1 functions (de-ned on an ultrametric space) by sh...
It is well known that if the nonempty player of the Banach–Mazur game has a winning strategy on a sp...
It is well known that if the nonempty player of the Banach–Mazur game has a winning strategy on a sp...
It is well known that if the nonempty player of the Banach–Mazur game has a winning strategy on a sp...
Abstract. A classical theorem of Kuratowski says that every Baire one function on a G subspace of a ...
Perhaps the earliest results about pointwise compact sets of Baire class-1 functions are the two sel...
In his thesis Baire defined functions of Baire class 1. A function f is of Baire class 1 if it is th...
Abstract. Let X be a Polish space and K a separable compact subset of the first Baire class on X. Fo...
Using a game-theoretic characterization of Baire spaces, conditions upon the domain and the range ar...
In this thesis we give an exposition of the notion of category and the Baire category theorem as a s...
In this thesis we give an exposition of the notion of category and the Baire category theorem as a s...
summary:We prove that each linearly continuous function $f$ on $\mathbb R^n$ (i.e., each function co...
summary:We prove that each linearly continuous function $f$ on $\mathbb R^n$ (i.e., each function co...
In this thesis we give an exposition of the notion of category and the Baire category theorem as a s...
summary:We prove that each linearly continuous function $f$ on $\mathbb R^n$ (i.e., each function co...
We give a new characterization of the Baire class 1 functions (de-ned on an ultrametric space) by sh...
It is well known that if the nonempty player of the Banach–Mazur game has a winning strategy on a sp...
It is well known that if the nonempty player of the Banach–Mazur game has a winning strategy on a sp...
It is well known that if the nonempty player of the Banach–Mazur game has a winning strategy on a sp...
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