Embedding, compression and fiberwise homotopy theory

John R Klein

doi:10.2140/agt.2002.2.311

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Home > Journals > Algebr. Geom. Topol. > Volume 2 > Issue 1 > Article

2002 Embedding, compression and fiberwise homotopy theory

John R Klein

Algebr. Geom. Topol. 2(1): 311-336 (2002). DOI: 10.2140/agt.2002.2.311

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Abstract

Given Poincaré spaces $M$ and $X$ , we study the possibility of compressing embeddings of $M \times I$ in $X \times I$ 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.

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John R Klein. "Embedding, compression and fiberwise homotopy theory." Algebr. Geom. Topol. 2 (1) 311 - 336, 2002. https://doi.org/10.2140/agt.2002.2.311