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References
E. Borel, Sur la classification des ensembles de mesure null, Bull. Soc. Math. France, vol. 47 (1919), 97–125.
N. Bourbaki, Topologie générale, in Éléments de Mathématique, Hermann, Paris, 1958, Chap. IX, 2nd ed.
K. Gödel, The consistency of the axiom choice and of the generalized continuum hypothesis, Ann. Math. Studies 3, 1940.
T.J. Jech, Set theory, Academic Press, New York, San Francisco and London, 1978.
C. Kuratowski, Topologie I, Warszawa 1952 (Édition Troisième, Corrigée).
R. Laver, On the consistency of Borel's conjecture, Acta Math., vol. 137 (1976), 151–169.
N. Lusin Sur un problème de M. Baire, C.R. Acad. Sci. Paris, vol. 158 (1914), 1258–1261.
D.A. Martin and R.M. Solovay, Internal Cohen extensions, Ann. of Math. Logic, vol. 2, no. 2 (1970), 143–178.
J. Shinoda, A note on Silver's extension, Comm. Math. Univ. Sancti Pauli, Tom. 22 (1973), 109–111.
W. Sierpiński, Sur un ensemble non dénombrable, dont toute image continue est de mesure nulle, Fund. Math. Tom. 11 (1928), 301–304.
H. Steinhaus, Sur les distances des points dans les ensembles de mesure positive, Fund. Math., Tom. 1 (1920), 93–104.
P. Vopeňka and K Hrbáček, The consistency of some theorems on real numbers, Bull. Acad. Polon. Sci., Tom. 15 (1967), 107–111.
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Tugué, T., Nomoto, H. (1981). Independence of a problem in elementary analysis from set theory. In: Müller, G.H., Takeuti, G., Tugué, T. (eds) Logic Symposia Hakone 1979, 1980. Lecture Notes in Mathematics, vol 891. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090987
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DOI: https://doi.org/10.1007/BFb0090987
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