On the theory of grossone.
Gutman, A.E., Kutateladze, S.S. (2008)
Sibirskij Matematicheskij Zhurnal
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Gutman, A.E., Kutateladze, S.S. (2008)
Sibirskij Matematicheskij Zhurnal
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Paul Corazza (1997)
Fundamenta Mathematicae
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We define a new large cardinal axiom that fits between and in the hierarchy of axioms described in [SRK]. We use this new axiom to obtain a Laver sequence for extendible cardinals, improving the known large cardinal upper bound for the existence of such sequences.
Hourong Qin (1995)
Acta Arithmetica
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Miroslav Repický (1994)
Fundamenta Mathematicae
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[1] T. Bartoszyński, Additivity of measure implies additivity of category, Trans. Amer. Math. Soc. 281 (1984), 209-213. [2] T. Bartoszyński and H. Judah, Measure and Category, in preparation. [3] D. H. Fremlin, Cichoń’s diagram, Publ. Math. Univ. Pierre Marie Curie 66, Sém. Initiation Anal., 1983/84, Exp. 5, 13 pp. [4] M. Goldstern, Tools for your forcing construction, in: Set Theory of the Reals, Conference of Bar-Ilan University, H. Judah (ed.), Israel Math. Conf. Proc. 6, 1992, 307-362....
Tomasz Schoen (2000)
Acta Arithmetica
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Mironova, Yu.N. (2002)
Sibirskij Matematicheskij Zhurnal
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Vsevolod F. Lev, Pavel Y. Smeliansky (1995)
Acta Arithmetica
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What is the structure of a pair of finite integers sets A,B ⊂ ℤ with the small value of |A+B|? We answer this question for addition coefficient 3. The obtained theorem sharpens the corresponding results of G. Freiman.
Joseph B. Muskat, Blair K. Spearman, Kenneth S. Williams (1995)
Acta Arithmetica
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Jean-Loup Mauclaire (1994)
Acta Arithmetica
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J. C. Wilson (1994)
Acta Arithmetica
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Thomas Töpfer (1998)
Acta Arithmetica
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