Continuity of Real Functions

Intermediate value theorem, extreme value theorem, uniform and Lipschitz continuity, discontinuities and semicontinuity.
Author

John Robin Inston

Published

October 30, 2026

Work in progress. This note has not been written yet. It is linked from the notes listed below.

1 Intuition

TODO: one or two plain-language paragraphs.

2 Definition

TODO: formal definition, with links to prerequisite notes.

3 Results

TODO: key theorems, with a proof or proof sketch.

4 Examples

TODO: simple worked examples.

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