Coverings of groups and types

• Autores: Ludomir Newelski, Marcin Petrykowski
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 71, Nº 1, 2005, págs. 1-21
• Idioma: inglés
• DOI: 10.1112/s0024610704005976
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• Resumen

  • Assume that is a group covered by countably many sets . It is proved that is generated in two or three steps by a small number of the sets . These results are generalized for countable coverings of types and countable colourings of graphs.