Some additive properties of special sets of reals

• Autorzy: Ireneusz Recław
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1991
• Tom: 62
• Numer: 2
• Strony: 221-226

Daty

wydano

1991

otrzymano

1988-12-19

poprawiono

1990-08-30

Twórcy

autor

Ireneusz Recław

• Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

Bibliografia

• [1] J. B. Brown and G. V. Cox, Classical theory of totally imperfect spaces, Real Anal. Exchange 7 (1981/82), 185-232.
• [2] P. Erdős, K. Kunen and R. Mauldin, Some additive properties of sets of real numbers, Fund. Math. 113 (1981), 187-199.
• [3] W. G. Fleissner and A. W. Miller, On Q-sets, Proc. Amer. Math. Soc. 78 (1980), 280-284.
• [4] D. H. Fremlin and J. Jasiński, $G_δ$-covers and large thin sets of reals, Proc. London Math. Soc. (3) 53 (1986), 518-538.
• [5] F. Galvin, J. Mycielski and R. Solovay, Strong measure zero sets, Notices Amer. Math. Soc. 26 (1979), A-280.
• [6] E. Grzegorek, Solution of a problem of Banach on σ-fields without continuous measures, Bull. Acad. Polon. Sci. Sér. Sci. Math. 28 (1980), 7-10.
• [7] E. Grzegorek, Always of the first category sets, in: Proc. 12th Winter School on Abstract Analysis, Srní 15-29 January, 1984, Section Topology, Rend. Circ. Mat. Palermo (2) Suppl. 6 (1984), 139-147.
• [8] K. Kuratowski, Topology I, Academic Press, New York, and PWN, Warszawa 1966.
• [9] A. W. Miller, Special subsets of the real line, in: Handbook of Set-Theoretic Topology, K. Kunen and J. E. Vaughan (eds.), North-Holland, Amsterdam 1984, 201-233.
• [10] J. Mycielski, Independent sets in topological algebras, Fund. Math. 55 (1964), 139-147.
• [11] J. von Neumann, Ein System algebraisch unabhängiger Zahlen, Math. Ann. 99 (1928), 134-141.
• [12] W. F. Pfeffer and K. Prikry, Small spaces, Proc. London Math. Soc. (3) 58 (1989), 417-438