Universal Covers of Ricci Limit and RCD Spaces

2020 ◽  
pp. 352-372
Author(s):  
Jiayin Pan ◽  
Guofang Wei
Keyword(s):  
Universal Covers

scholarly journals Hausdorff convergence and universal covers

2001 ◽  
Vol 353 (9) ◽  
pp. 3585-3602 ◽  
Author(s):  
Christina Sormani ◽  
Guofang Wei
Keyword(s):  
Hausdorff Convergence ◽  
Universal Covers

scholarly journals Smallest universal covers for families of triangles

2021 ◽  
Vol 92 ◽  
pp. 101686
Author(s):  
Ji-won Park ◽  
Otfried Cheong
Keyword(s):  
Universal Covers

scholarly journals Revisiting Leighton’s theorem with the Haar measure

2020 ◽  
pp. 1-9
Author(s):  
DANIEL J. WOODHOUSE
Keyword(s):  
Haar Measure ◽  
Free Groups ◽  
Finite Cover ◽  
Covering Theorem ◽  
Rigidity Result ◽  
Graph Covering ◽  
Finite Graphs ◽  
Universal Covers ◽  
Line Patterns

Abstract Leighton’s graph covering theorem states that a pair of finite graphs with isomorphic universal covers have a common finite cover. We provide a new proof of Leighton’s theorem that allows generalisations; we prove the corresponding result for graphs with fins. As a corollary we obtain pattern rigidity for free groups with line patterns, building on the work of Cashen–Macura and Hagen–Touikan. To illustrate the potential for future applications, we give a quasi-isometric rigidity result for a family of cyclic doubles of free groups.

Galois action on universal covers of Kodaira fibrations

2020 ◽  
Vol 169 (7) ◽  
pp. 1281-1303
Author(s):  
Gabino González-Diez
Keyword(s):  
Galois Action ◽  
Universal Covers

scholarly journals Isometries, rigidity and universal covers

2008 ◽  
Vol 168 (3) ◽  
pp. 915-940 ◽  
Author(s):  
Benson Farb ◽  
Shmuel Weinberger
Keyword(s):  
Universal Covers
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