Fundamental pro-groups and Gromov boundaries of 7-systolic groups

• Autores: Jacek Swiatkowski
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 80, Nº 3, 2009, págs. 649-664
• Idioma: inglés
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• Resumen

  • We introduce the property of pro-ð1-saturation (defined in terms of fundamental pro-groups) for compact metric spaces. We expect (though cannot yet prove) this property to be stronger than hereditary asphericity. We show that 1-dimensional spaces and Gromov boundaries of 7-systolic groups are pro-ð1-saturated (the latter class contains examples of pro-ð1-saturated spaces with arbitrary finite topological dimension).