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Baire functions and spaces of Baire functions
E. G. Pytkeev Institute of Mathematics and Mechanics, Ural Branch of the AS of USSR
Abstract:
The paper considers (1) the tightness of spaces of Baire functions and their subspaces endowed with the topology of pointwise convergence; (2) $Z_{\sigma}$-mappings of $K$-analytic spaces; (3) $K_{\sigma}$-analytic spaces (Tychonoff spaces which are $Z_{\sigma}$-images of $K$-analytic spaces).
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English version:
Journal of Mathematical Sciences (New York), 2006, 136:5, 4131–4155
Bibliographic databases:
UDC:
515.12
Citation:
E. G. Pytkeev, “Baire functions and spaces of Baire functions”, Fundam. Prikl. Mat., 9:4 (2003), 3–39; J. Math. Sci., 136:5 (2006), 4131–4155
Citation in format AMSBIB
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\paper Baire functions and spaces of Baire functions
\jour Fundam. Prikl. Mat.
\yr 2003
\vol 9
\issue 4
\pages 3--39
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\zmath{https://zbmath.org/?q=an:1073.54011}
\elib{http://elibrary.ru/item.asp?id=13513584}
\transl
\jour J. Math. Sci.
\yr 2006
\vol 136
\issue 5
\pages 4131--4155
\crossref{https://doi.org/10.1007/s10958-006-0224-5}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33745657067}
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