Source: wikibot/whitney-immersion-theorem
= Whitney immersion theorem
{wiki=Whitney_immersion_theorem}
The Whitney immersion theorem is a fundamental result in differential topology concerning the immersion of smooth manifolds. It states that every smooth \\( n \\)-dimensional manifold can be immersed in \\( \\mathbb\{R\}^\{2n\} \\). More formally, the theorem can be stated as follows: **Whitney Immersion Theorem:** Let \\( M \\) be a smooth manifold of dimension \\( n \\).