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

Jacek Swiatkowski

• 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).