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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

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