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Baire functions and spaces of Baire functions

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The paper considers (1) the tightness of spaces of Baire functions and their subspaces endowed with the topology of pointwise convergence; (2) Z σ-mappings of K-analytic spaces; (3) K σ-analytic spaces (Tychonoff spaces that are Z σ-images of K-analytic spaces).

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 9, No. 4, pp. 3–39, 2003.

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Pytkeev, E.G. Baire functions and spaces of Baire functions. J Math Sci 136, 4131–4155 (2006). https://doi.org/10.1007/s10958-006-0224-5

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