On Rings of Baire one functions

zbMath1419.54015arXiv1811.07606MaRDI QIDQ5742236

Atanu Mondal, Atasi Deb Ray

Publication date: 17 May 2019

Full work available at URL: https://arxiv.org/abs/1811.07606

zbMATH Keywords

Baire one function$B_1^*$-embedding$B_1$-embedding

Mathematics Subject Classification ID

(C)- and (C^*)-embedding (54C45) Real-valued functions in general topology (54C30) Classification of real functions; Baire classification of sets and functions (26A21) Topology of special sets defined by functions (54C50)

Related Items (4)

Ideals in $B_1(X)$ and residue class rings of $B_1(X)$ modulo an ideal ⋮ Convergence and the zero divisor graph on the ring of functions which are discontinuous on a finite set ⋮ Functions of Baire class one over a Bishop topology ⋮ Rings of functions which are discontinuous on a set of measure zero

Cites Work

• An equivalent definition of functions of the first Baire class
• On some properties of Baire-1 functions
• Applications of the Theory of Boolean Rings to General Topology
• Rings of Real-Valued Continuous Functions. I
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