Compactification

Alexandroff extension

The Alexandroff extension of a topological space (𝑋,T) is a Compact space (𝑋⋆,T⋆) with an open embedding 𝑐 :𝑋 β†ͺ𝑋⋆ such that 𝑋⋆ βˆ–π‘π‘‹ ={πœ”}, where πœ” is a special point often denoted ∞. topology

π‘ˆβˆˆTβ‹†βŸΊ{π‘ˆβˆˆTπœ”βˆ‰π‘ˆπ‘‹βˆ–π‘ˆΒ compactπœ”βˆˆπ‘ˆ

Properties


tidy | en | SemBr