σ-compact

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Definition ( $\sigma$ -compact)

A set $E$ in a Topological Space is called $\sigma$ -compact if $E$ is a countable union of Compact sets. i.e. $E\in \mathscr{T}:E \,\,\sigma\text{-compact}\iff(K_{n})_{n\in \mathbb{N}},K_{i}\text{ compact },E=\bigcup_{n\in \mathbb{N}}K_{n}$

σ-compact

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