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- فارسی
5) "Non-branching RCD(0, N) geodesic spaces with Small linear diameter growth have finitely generated fundamental groups", joint with Y. Kitabeppu, Canadian Mathematical Bulletin 58, no. 4, 787798 (2015)
In this paper, we generalize the finite generation result of Sormani to non-branching RCD(K, N) geodesic spaces (and in particular, Alexandrov spaces) with full support measures. This is a special case of the Milnor’s Conjecture for complete non-compact RCD(K, N) spaces. One of the key tools we use is the Abresch–Gromoll type excess estimates for non-smooth spaces obtained by Gigli–Mosconi.
Journal Papers
Month/Season:
Spring
Year:
2015