论文标题
作为反向半群II的双重指标
Metrics on doubles as an inverse semigroup II
论文作者
论文摘要
我们最近表明，鉴于公制空间$ x $，在两份$ x $的两份副本上的粗体等效类别形式形式为反向半群$ m（x）$。在这里，我们给出了该反向半群及其石材双空间$ \ widehat x $的$ e（m（x））$的几个描述。我们还根据$ \ widehat x $构建$σ$ - addive的措施，从有限添加的概率度量中，$ x $消失在有限的子集上。
We have shown recently that, given a metric space $X$, the coarse equivalence classes of metrics on the two copies of $X$ form an inverse semigroup $M(X)$. Here we give several descriptions of the set $E(M(X))$ of idempotents of this inverse semigroup and its Stone dual space $\widehat X$. We also construct $σ$-additive measures on $\widehat X$ from finitely additive probability measures on $X$ that vanish on bounded subsets.
