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Burke, Maxim R.; Ciesielski, Krzysztof. Sets on which Measurable Functions are Determined by their Range. Canadian journal of mathematics, Tome 49 (1997) no. 6, pp. 1089-1116. doi: 10.4153/CJM-1997-054-8
@article{10_4153_CJM_1997_054_8,
author = {Burke, Maxim R. and Ciesielski, Krzysztof},
title = {Sets on which {Measurable} {Functions} are {Determined} by their {Range}},
journal = {Canadian journal of mathematics},
pages = {1089--1116},
year = {1997},
volume = {49},
number = {6},
doi = {10.4153/CJM-1997-054-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1997-054-8/}
}
TY - JOUR AU - Burke, Maxim R. AU - Ciesielski, Krzysztof TI - Sets on which Measurable Functions are Determined by their Range JO - Canadian journal of mathematics PY - 1997 SP - 1089 EP - 1116 VL - 49 IS - 6 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1997-054-8/ DO - 10.4153/CJM-1997-054-8 ID - 10_4153_CJM_1997_054_8 ER -
%0 Journal Article %A Burke, Maxim R. %A Ciesielski, Krzysztof %T Sets on which Measurable Functions are Determined by their Range %J Canadian journal of mathematics %D 1997 %P 1089-1116 %V 49 %N 6 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1997-054-8/ %R 10.4153/CJM-1997-054-8 %F 10_4153_CJM_1997_054_8
Bella, A., Simon, S., Function spaces with a dense set of nowhere constant functions. Boll. Un. Mat. Ital. (4A) 7(1990), 121–124. Google Scholar
Berarducci, A., Dikranjan, D., Uniformly approachable functions and UA spaces. Rend. Istit. Mat. Univ. Trieste 25(1993), 23–56. Google Scholar
Büchi, J.R., On the existence of totally heterogeneous spaces. Fund. Math. 41(1954), 97–102. Google Scholar
Burke, M.R. and Ciesielski, K., Sets of range uniqueness for classes of continuous functions. Submitted. Google Scholar
Ciesielski, K., Larson, L., Ostaszewski, K., I-density Continuous Functions. Mem. Amer. Math. Soc. (515) 107(1994). Google Scholar
Ciesielski, K., Shelah, S., Model with no magic set. Preprint. Google Scholar
Corazza, P., The generalized Borel conjecture and strongly proper orders. Trans. Amer. Math. Soc. 316(1989), 115–140. Google Scholar
Diamond, H.G., Pomerance, C., Rubel, L., Sets on which an entire function is determined by its range. Math Z. 176(1981), 383–398. Google Scholar
Dushnik, B., Miller, E.W., Partially ordered sets. Amer. J.Math. 63(1941), 600–610. Google Scholar
Engelking, R., General Topology, Revised and Completed Edition. Sigma Ser. PureMath. 6, Heldermann Verlag, Berlin, 1989. Google Scholar
Fremlin, D.H., Measure-additive coverings and measurable selectors. Dissertationes Math. 260(1987). Google Scholar
Jech, T., Set Theory. Academic Press, New York, 1978. Google Scholar
Just, W., A modification of Shelah's oracle-cc with applications. Trans. Amer. Math. Soc. 329(1992), 325–356. Google Scholar
Kunen, K., Set Theory. North-Holland Publishing Co., New York, 1983. Google Scholar
Kunen, K., Random and Cohen real. In: Handbook of Set-Theoretic Topologys (Eds. Kunen, K. and Vaughan, J.E.), North-Holland Publishing Co., New York, 1984. 887–911. Google Scholar
Miller, A.W., Some properties of measure and category. Trans. Amer.Math. Soc. 266(1981), 93–114. Google Scholar
Miller, A.W., Special Subsets of the Real Line. In: Handbook of Set-Theoretic Topology (Eds. Kunen, K. and Vaughan, J.E.), North-Holland Publishing Co., New York, 1984. 201–233. Google Scholar
Miller, A.W., Mapping a set of reals onto the reals. J. Symbolic Logic 48(1983), 575–584. Google Scholar
Oxtoby, J.C., Measure and Category. Graduate Texts in Math., 2nd edn, Springer-Verlag, New York, 1980. Google Scholar
Royden, H.L., Real Analysis. Prentice Hall, 1988. Google Scholar
Rudin, W., Real and Complex Analysis. McGraw-Hill, 1987. Google Scholar
Shelah, S., Independence results. J. Symbolic Logic 45(1980), 563–573. Google Scholar
Tall, F.D., The density topology. Pacific Math. J. (1) 62(1976), 275–284. Google Scholar
Todorcevic, S., Partition problems in topology. Contemp. Math. 84, Amer. Math. Soc., Providence, RI, 1989. Google Scholar
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