具有LOTS因子的积空间的正交紧性

The Orthocompactness of Product Spaces with a LOTS Factor

本文证明当x是点有限仿紧空间时,x与一个核为K的线性序拓扑空间<Y,(?)>的乘积是正交紧的充要条件是x的正交口径为K,该结果推广了文[1]的一个主要结果,在此基础上,我们给出了点有限仿紧空间与局部紧线性序拓扑空间乘积正交紧性的一个刻划。

In this paper, We discuss the ortho-compactness of product spaces with a locally compact linearly ordered topological space factor. We prove that for a metacompact space X , and a linearly ordered topolgical space Y with fat K, X×Y is orthocompact if X has an orthocaliber K. Oh this basis, We give a characterization for the orthocompactness ofproduct space X×Y, here Y is a locally compact LOTS.