Given Poincaré spaces M and X, we study the possibility of compressing embeddings of M×I in X×I down to embeddings of M in X. This results in a new approach to embedding in the metastable range both in the smooth and Poincaré duality categories.
Klein, John R  1
@article{10_2140_agt_2002_2_311,
author = {Klein, John R},
title = {Embedding, compression and fiberwise homotopy theory},
journal = {Algebraic and Geometric Topology},
pages = {311--336},
year = {2002},
volume = {2},
number = {1},
doi = {10.2140/agt.2002.2.311},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2002.2.311/}
}
Klein, John R. Embedding, compression and fiberwise homotopy theory. Algebraic and Geometric Topology, Tome 2 (2002) no. 1, pp. 311-336. doi: 10.2140/agt.2002.2.311
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