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On the Borel Classes of Set-Valued Maps of Two Variables


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[1] R. Brisac, Les classes de Baire des fonctions multiformes, C. R. Acad. Sci. Paris 224 (1947), 257–258.Search in Google Scholar

[2] J. Ewert, Multivalued Mappings and Bitopological Spaces (Polish), Pomeranian University in Słupsk, Słupsk, 1985.Search in Google Scholar

[3] J. Ewert and T. Lipski, Lower and upper quasicontinuous functions, Demonstratio Math. 16 (1983), no. 1, 85–93.Search in Google Scholar

[4] K.M. Garg, On the classification of set-valued functions, Real Anal. Exchange 9 (1983/84), no. 1, 86–93.10.2307/44153516Search in Google Scholar

[5] R.W. Hansell, Hereditarily additive families in descriptive set theory and Borel measurable multimaps, Trans. Amer. Math. Soc. 278 (1983), no. 2, 725–749.Search in Google Scholar

[6] S. Hu and N.S. Papageorgiou, Handbook of Multivalued Analysis, vol. I, Kluwer Academic Publishers, Dordrecht-Boston-London, 1997.Search in Google Scholar

[7] S. Kempisty, Sur les fonctions quasicontinues, Fund. Math. 19 (1932), 184–197.10.4064/fm-19-1-184-197Search in Google Scholar

[8] K. Kuratowski, Sur la théorie des fonctions dans les espaces métriques, Fund. Math. 17 (1931), 275–282.10.4064/fm-17-1-275-282Search in Google Scholar

[9] K. Kuratowski, On set-valued B-measurable mappings and a theorem of Hausdorff, in: G. Asser, J. Flachsmeyer, and W. Rinow (eds.), Theory of Sets and Topology (in Honour of Felix Hausdorff, 1868-1942), VEB Deutsh. Verlag Wissench., Berlin, 1972, pp. 355–362.Search in Google Scholar

[10] K. Kuratowski, Some remarks on the relation of classical set-valued mappings to the Baire classification, Colloq. Math. 42 (1979), 273–277.10.4064/cm-42-1-273-277Search in Google Scholar

[11] G. Kwiecińska, On the Borel class of multivalued functions of two variables, Topology Proc. 25 (2000), 601–613.Search in Google Scholar

[12] G. Kwiecińska, B-measurability of multifunctions of two variables, Real Analysis Exchange, Summer Symposium 2011, 36–41.Search in Google Scholar

[13] T. Neubrunn, Quasi-continuity, Real Anal. Exchange 14 (1988), no. 2, 259–306.Search in Google Scholar

[14] W. Zygmunt, The Scorza–Dragoni Property (Polish), Thesis, M. Curie-Skłodowska University, Lublin, 1990.Search in Google Scholar

eISSN:
2391-4238
ISSN:
0860-2107
Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Mathematics, General Mathematics