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arxiv: math/0205273 · v1 · pith:HIP6PTOYnew · submitted 2002-05-26 · 🧮 math.AT · math.GT

Embedding, compression and fiberwise homotopy theory

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keywords embeddingembeddingspoincareapproachcategoriescompressingcompressiondown
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Given Poincare spaces M and X, we study the possibility of compressing embeddings of M x I in X 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 Poincare duality categories.

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