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...athematicians from other areas who want to apply or to learn the theory of embeddings. * ''The Knotting Problem'': Classify [[Embedding_(simple_definition)|embeddings]] of a given manifold into another given manifold up to isotopy.

...mathematician from other areas who want to apply or to learn the theory of embeddings. ...s a connected manifold of dimension $n>1$, and $m \ge2n+1$, then every two embeddings $N \to\Rr^m$ are isotopic \cite[Theorem 3.2]{Skopenkov2016c}, \cite[Theorem

...mathematician from other areas who want to apply or to learn the theory of embeddings. ...ing dimensions. The presently known cases of such classifications are <!--embeddings

...s. In these categories there are other concepts of embeddings - e.g. wild embeddings - which are not locally flat: the condition ...le surfaces]] (such as the projective plane and the Klein bottle) allow no embeddings into $\R^3$.

#REDIRECT [[Embeddings in Euclidean space: an introduction to their classification#Notation_and_conventions]] This page gives references to pages on the classification of embeddings, and introduces notation and conventions used there.