Abstract
We introduce the property of pro-π1-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-π1-saturated (the latter class contains examples of pro-π1-saturated spaces with arbitrary finite topological dimension).
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
