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Multiple disjunction for spaces of smooth embeddings. (English) Zbl 1329.57029

In this paper, the authors transfer their work on “Multiple disjunction for spaces of Poincaré embeddings” [J. Topol. 1, No. 4, 761–803 (2008; Zbl 1168.57017)] to spaces of smooth embeddings. In their main results, they prove multirelative connectivity statements about spaces of smooth embeddings asserting that certain cubical diagrams of such spaces are ‘highly connected’ with degree of connectivity depending on the dimensions of the involved manifolds. They also prove similar results about concordance embeddings.

MSC:

57N35 Embeddings and immersions in topological manifolds
57P10 Poincaré duality spaces

Citations:

Zbl 1168.57017

References:

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