I don't think that's quite right.. According to wikipedia, embedding is: https://en.wikipedia.org/wiki/Embedding https://en.wikipedia.org/wiki/Embedding So Pr

I don't think that's quite right.. According to wikipedia, embedding is: https://en.wikipedia.org/wiki/Embedding https://en.wikipedia.org/wiki/Embedding So Projection sounds closer to what you describe. https://en.wikipedia.org/wiki/Projection_(mathematics) https://en.wikipedia.org/wiki/Projection_(mathematics) So my original comment is not quite right either. The embedding is a structure preserving map. A projection isn't necessarily structure preserving. ''' To be an embedding, such a mapping must preserve order "both ways": ''' http://mathworld.wolfram.com/Embedding.html http://mathworld.wolfram.com/Embedding.html I think that a projection from p dimensions to q<p dimensions isn't structure preserving. At this point a mathematician may be able to explain more.