Fibrewise ω-compact and locally ω-compact spaces

Abstract

The goal of this article is to construct fibrewise w-compact (resp. locally w-compact) spaces. Some related results and properties of these concepts will be investigated. Furthermore, we investigate various relationships between these concepts and three classes of fibrewise w-separation axioms.

Subject Classification:

• Primary 55R70
• Secondary 54C05
• 54C08
• 54C10
• 06D72

Keywords:

• Fibwi-topspa
• Fibwi-ω-comp
• Fibwi-loc-ω-comp
• Fibwi-H
• Fibwi-ω-re
• Fibwi-ω-no