Affiliation:
1. Department of Mathematics, School of Science, Jimei University, Xiamen, Fujian 361021, China
Abstract
The concepts ofαω-remote neighborhood family,γω-cover, andLω-compactness are defined inLω-spaces. The characterizations ofLω-compactness are systematically discussed. Some important properties ofLω-compactness such asω-closed heredity, arbitrarily multiplicative property, and preserving invariance underω-continuous mappings are obtained. Finally, the Alexanderω-subbase lemma and the Tychonoff product theorem with respect toLω-compactness are given.
Funder
Natural Science Foundation of Fujian Province
Subject
Applied Mathematics,Analysis