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σ-compact

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Definition
MeasureTheory

A set EE in a Topological Space is called σ\sigma-compact if EE is a countable union of Compact sets. i.e. E∈T:E  σ-compact  ⟺  (Kn)n∈N,Ki compact ,E=⋃n∈NKnE\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}

Linked from

Complete

Arzelà-Ascoli

Continuous and Compactly supported functions dense in Lp

Measurable Selection Conditions

Discounted Cost

Belief MDP

Existence for N-agent Team

Weierstrass Theorem

Norm-like Function

Theorems on Convergence

Coin Tossing Probability Space

Tight

Foster-Lyapunov Theorems

Proper

Locally Compact

Relatively Compact

Separable

Sequentially Compact

"Nice" Topological Spaces

Topological Space

Totally Bounded

σ-compact

Notions of Compactness

Heine-Borel Theorem