On the Equivalence between Ch and The Existence of Certain I-Luzin Subsets of ℝ
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| 024 | 7 | 0 | |a 10.1515/GMJ.2004.195 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/GMJ.2004.195 | ||
| 100 | 1 | |a Zoli |D Enrico |u Dipartimento dell'Ingegneria dell'Informazione, Università degli Studi di Siena, via Roma 56, 53100 Siena, Italy. E-mail: zoli@math.unifi.it | |
| 245 | 1 | 0 | |a On the Equivalence between Ch and The Existence of Certain I-Luzin Subsets of ℝ |h [Elektronische Daten] |c [Enrico Zoli] |
| 520 | 3 | |a We extend Rothberger's theorem (on the equivalence between CH and the existence of Luzin and Sierpiński-sets having power ) and certain paradoxical constructions due to Erdös. More precisely, by employing a suitable σ-ideal associated to the (α, β)-games introduced by Schmidt, we prove that the Continuum Hypothesis holds if and only if there exist subgroups of (ℝ, +) having power and intersecting every "absolutely losing” (respectively, every meager and null) set in at most countably many points. | |
| 540 | |a © Heldermann Verlag | ||
| 690 | 7 | |a Continuum Hypothesis |2 nationallicence | |
| 690 | 7 | |a Schmidt's games |2 nationallicence | |
| 690 | 7 | |a I-Luzin sets |2 nationallicence | |
| 690 | 7 | |a σ-ideals |2 nationallicence | |
| 690 | 7 | |a vector subspaces of ℝ over the rationals |2 nationallicence | |
| 773 | 0 | |t Georgian Mathematical Journal |d Walter de Gruyter GmbH & Co. KG |g 11/1(2004-03), 195-202 |x 1072-947X |q 11:1<195 |1 2004 |2 11 |o GMJ | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/GMJ.2004.195 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/GMJ.2004.195 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Zoli |D Enrico |u Dipartimento dell'Ingegneria dell'Informazione, Università degli Studi di Siena, via Roma 56, 53100 Siena, Italy. E-mail: zoli@math.unifi.it | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Georgian Mathematical Journal |d Walter de Gruyter GmbH & Co. KG |g 11/1(2004-03), 195-202 |x 1072-947X |q 11:1<195 |1 2004 |2 11 |o GMJ | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||