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Thomas Schick: A note on a small part of the homology of Emb(M,N)

Let M and N be smooth manifolds and Emd(M,N) the space of embeddings from M to N. If there exist small embeddings of M into N (with image contained in suitable coordinate neighborhoods), we show how elements in the homology of Emd(M,N) can be detected in the homology of N. We consider examples which show that this way one can not get much information about ``large'' embeddings.


Thomas Schick