kids encyclopedia robot

Immersion (mathematics) facts for kids

Kids Encyclopedia Facts
Klein bottle
The Klein Bottle immersed in three-dimensional space.

In differential geometry, an immersion is a function that maps one manifold into another. Immersions are only possible if the manifolds have certain properties.

Images for kids

  • MobiusStrip-01

    The Möbius strip does not immerse in codimension 0 because its tangent bundle is non-trivial.

  • BoysSurfaceTopView

    Boy's surface

  • MorinSurfaceAsSphere'sInsideVersusOutside

    The Morin surface

See also

Kids robot.svg In Spanish: Inmersión (matemáticas) para niños

kids search engine
All content from Kiddle encyclopedia articles (including the article images and facts) can be freely used under Attribution-ShareAlike license, unless stated otherwise. Cite this article:
Immersion (mathematics) Facts for Kids. Kiddle Encyclopedia.