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Let S be a closed orientable surface of genus g ≥ 2,and C(S)the curve complex of S.In the paper,we introduce the concepts of 2-path between edges in C(S),which can be regarded as an analogue to the edge path between vertices in C(S).We show that C(S)is 2P-connected,and the 2-diameter of C(S)is infinite.  相似文献   
2.
In this paper, for an invariant subspace I of the weighted Bergman space, the weighted root operator is defined. We study the weighted root operator and obtain its fundamental properties when the invariant subspace I has finite index. Furthermore, we give some examples of the root operator and estimate ranks of the operators.  相似文献   
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