Geodesic
On the role of L-Baire functions in abstract measure and integration
Glasgow mathematical journal, Tome 16 (1975) no. 1, pp. 61-67

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If X is any set and L ⊂ [ – ∞, ∞]x, the class BL of L-Baire functions is defined to be the smallest subclass of [ – ∞, ∞]x which contains L and is closed under the formation of monotone, pointwise, sequential limits, so that BL ∍ fn ↗ f or BL ∍ fn ↘ f ⇒ f ∊ BL. 
Maron, Melvin J. On the role of L-Baire functions in abstract measure and integration. Glasgow mathematical journal, Tome 16 (1975) no. 1, pp. 61-67. doi: 10.1017/S0017089500002524
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