Weakly P-small not P-small subsets in Abelian groups

• Published in: Algebra and Discrete Mathematics
• Date: 2006
• Main Authors: Banakh, T., Lyaskovska, N.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157369
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Weakly P-small not P-small subsets in Abelian groups / T. Banakh, N. Lyaskovska // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 3. — С. 30–35. — Бібліогр.: 4 назв. — англ.

Answering a question of D. Dikranjan and I. Protasov we prove that each infinite Abelian group contains a weakly
 P-small subset that is not P-small.