Theorem

Whitney Extension Theorem

Analysis

The Whitney extension theorem, a result of Hassler Whitney, is a partial converse to Taylor's theorem in mathematical analysis. It states that if A is a closed subset of a Euclidean space, then a function defined on A can be extended to the whole space in such a way that the extension has prescribed derivatives at every point of A. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts

Classification

Statement Form

Existence Theorem 1

Connections

Has Statement Form

Existence Theorem

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

In Branch

Analysis

Source Whitney Extension Theorem (Wikipedia)

Proved By

Hassler Whitney

Source Whitney Extension Theorem (Wikipedia)

Sources

1. Whitney Extension Theorem (Wikipedia)

In Branch: Analysis, Lead sentence
In mathematics, in particular in mathematical analysis, the Whitney extension theorem is a partial converse to Taylor's theorem.
Proved By: Hassler Whitney, Lead paragraph
In mathematics, in particular in mathematical analysis, the Whitney extension theorem is a partial converse to Taylor's theorem. Roughly speaking, the theorem asserts that if A is a closed

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Whitney Extension Theorem

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In Branch

Proved By