散密蛤
Dissipated Compacta
摘要：
耗散空间形成了一类包含离散拓扑空间和紧LOTS（线性序拓扑空间）的拓扑空间，并且对后两类为真的一些定理更一般地对耗散空间为真。例如，耗散空间上的每一个正则波莱尔测度都是可分的。两个紧LOTS的乘积通常不耗散，但它可以满足该性质的弱化。事实上，空间的耗散度可以用来在拓扑上区分n个LOTS的乘积和m个LOTS的乘积。
英文摘要：
The dissipated spaces form a class of compacta which contains both the scattered compacta and the compact LOTSes (linearly ordered topological spaces), and a number of theorems true for these latter two classes are true more generally for the dissipated spaces. For example, every regular Borel measure on a dissipated space is separable. A product of two compact LOTSes is usually not dissipated, but it may satisfy a weakening of that property. In fact, the degree of dissipation of a space can be used to distinguish topologically a product of n LOTSes from a product of m LOTSes.
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。
