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10 votes

Contractibility of space of embeddings of a disc

The group acts on your space of embeddings by postcomposition. … The same strategy can be used to find the homotopy type of the space of embeddings in 2. …
Igor Belegradek's user avatar
6 votes
Accepted

Normal bundle of Whitney embedding

Instead of classifying normal bundles to $X$ let us describe isotopy classes of embeddings of $X$ into $\mathbb R^{2n}$. Of course, isotopic embeddings have isomorphic normal bundles. … One quick statement is a theorem of Haefliger-Hirsch [On the existence and classification of differentiable embeddings. …
Igor Belegradek's user avatar