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On the embedding dimension of 2-torsion lens spaces - MaRDI portal

On the embedding dimension of 2-torsion lens spaces (Q846025)

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On the embedding dimension of 2-torsion lens spaces
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    On the embedding dimension of 2-torsion lens spaces (English)
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    29 January 2010
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    The authors prove results for the embedding (or non-embedding) of lens spaces in Euclidean spaces. A table is provided for such embeddings. Their method partly adapts for lens spaces the ideas of Gitler, Mahowald, and Milgram. Their main theorem uses the ku- and BP-theoretic versions of Astey's cobordism obstruction for the existence of smooth Euclidean embeddings of stably almost complex manifolds.
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    Euclidean embeddings of Lens spaces
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    connective complex \(K\)-theory
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    Brown-Peterson theory
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    Euler class
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    modified Postnikov towers
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