Quasi-flats in systolic complexes
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Abstract:
Each quasi-flat in a systolic complex is at finite Hausdorff distance from a triangulated plane which is flat outside a compact set.References
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Additional Information
- Tomasz Elsner
- Affiliation: Mathematical Institute, University of Wrocław, PL. Grunwaldzki 2/4, 50-384 Wrocław, Poland
- MR Author ID: 858149
- Email: tomasz.elsner@math.uni.wroc.pl
- Received by editor(s): May 21, 2017
- Received by editor(s) in revised form: September 28, 2018
- Published electronically: March 5, 2019
- Additional Notes: The author was partially supported by NCN grant DEC-2012/06/A/ST1/00259.
- Communicated by: Ken Bromberg
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 2365-2374
- MSC (2010): Primary 20F65, 20F67
- DOI: https://doi.org/10.1090/proc/14427
- MathSciNet review: 3951417