SP1等价关系的三角连接及其代价
Triangle Joins of SP1 Equivalence Relations and their Cost
摘要：
保等价关系的测度的自由联接，有或没有合并是由Gaboriau引入的，他研究了它们的成本，并得到了群的自由积的成本公式。引入测度保持等价关系的三角并的概念，并研究其代价。因此，我们证明了汤普森群G的成本是1。
英文摘要：
Free joins of measure preserving equivalence relations, with or without amalgamation were introduced by Gaboriau, who studied their cost and obtained a formula for the cost of free products of groups. We introduce the notion of triangle join of measure preserving equivalence relations and study their cost. As a consequence we show that the cost of Thompson's group G is 1.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
