The Almost ω-Compactness in Lω-Spaces

摘要

In this paper, the concepts of almost αω-remote neighborhood family, almost γω-cover and almost ω-compactness are proposed in Lω-spaces. The characterizations of almost ω-compactness are systematically discussed. Some important properties of almost ω-compactness, such as the almost ω-compactness is ωθ-closed hereditary and preserving invariance under almost ω-continuous mappings, are obtained.