73 citations · 116 across the 25 of their papers we have counts for
13 papers · 1 filter
Extension properties for partial permutations
Mahmood Etedadialiabad, Su Gao
Motivated by the EPPA problem for finite tournaments,we consider various extension properties for partial permutations. We show that for any set of prime numbers, the -exten…
Borel graphs generated by commuting functions
Su Gao, Xiangxi Hu, Jie Zou
In this paper we study Borel graphs generated by finitely many commuting Borel functions. We give a geometric analysis of the free part of such graphs based on marker sets and mark…
The amalgamation property and Urysohn structures in continuous logic
Su Gao, Xuanzhi Ren
In this paper we consider the classes of all continuous -(pre-)structures for a continuous first-order signature . We characterize the moduli of continuit…
Dense locally finite subgroups of Automorphism Groups of Ultraextensive Spaces
Mahmood Etedadialiabadi, Su Gao, François Le Maître +1
We verify a conjecture of Vershik by showing that Hall's universal countable locally finite group can be embedded as a dense subgroup in the isometry group of the Urysohn space and…
On Extensions of Partial Isomorphisms
Mahmood Etedadialiabadi, Su Gao
In this paper we study a notion of HL-extension (HL standing for Herwig--Lascar) for a structure in a finite relational language . We give a description of all finite…
The Complexity of the Classification Problems of Finite-Dimensional Continua
Cheng Chang, Su Gao
We consider the homeomorphic classification of finite-dimensional continua as well as several related equivalence relations. We show that, when , the classification probl…