Complete

🌱

Definition

MeasureTheory

A normed vector space $(V,\|\cdot\|)$ is complete if every Cauchy Sequence in $V$ converges.

Compactness implies ness.

Note

If a normed vector space is incomplete, one can complete it…

Banach Space

Hilbert Space

Polish space

Prokhorov's Theorem

σ-compact

Precompact