Semantic Scholar Open Access 2008 5 sitasi

Cardinal characteristics for Menger-bounded subgroups

H. Mildenberger

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Abstrak

Abstract Machura, Shelah and Tsaban showed in [M. Machura, S. Shelah, B. Tsaban, Squares of Menger-bounded groups, Trans. Amer. Math. Soc., in press, http://arxiv.org/pdf/math.GN/0611353 , 2007] that under the condition, that a relative d ′ ( P ) of the dominating number is at least d , there are subgroups of the Baer–Specker group whose kth power is Menger-bounded and whose ( k + 1 ) st power is not. We show that the sufficient condition implies r ⩾ d and indeed can be replaced by r ⩾ d . This result includes an affirmative answer to a question by Tsaban on a possibly weaker still sufficient condition. We show that it is consistent relative to ZFC that g ⩽ r d and there are subgroups of the Baer–Specker group whose kth power is Menger-bounded and whose ( k + 1 ) st power is not.

Topik & Kata Kunci

Mathematics

Penulis (1)

H. Mildenberger

Format Sitasi

APA MLA BibTeX

Mildenberger, H. (2008). Cardinal characteristics for Menger-bounded subgroups. https://doi.org/10.1016/J.TOPOL.2008.04.011

Akses Cepat

Lihat di Sumber doi.org/10.1016/J.TOPOL.2008.04.011

Informasi Jurnal

Tahun Terbit: 2008
Bahasa: en
Total Sitasi: 5×
Sumber Database: Semantic Scholar
DOI: 10.1016/J.TOPOL.2008.04.011
Akses: Open Access ✓