Analysis MOC

Uniform continuity

Uniform continuity¹ is a stronger notion than continuity in metric spaces. A function between metric spaces is uniformly continuous iff for every there exists such that anal

Properties

• Heine-Cantor theorem — Continuous functions with compact domain are uniformly continuous.

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tidy | en | sembr

Footnotes

1. German gleichmäßige Stetigkeit. ↩