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On embeddings of smooth covering spaces in vector bundles

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Publication:1900739
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DOI10.1016/0166-8641(95)00102-MzbMath0834.57019OpenAlexW2103956011MaRDI QIDQ1900739

Ping Zhang

Publication date: 10 April 1996

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(95)00102-m

zbMATH Keywords

existence of fibrewise embeddings of smooth coverings of \(n\)-dimensional manifolds in \(n\)-dimensional vector bundlesnormal bordism groups


Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Embeddings in differential topology (57R40)




Cites Work

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  • Embedding finite covering spaces into trivial bundles
  • On isotopy classification of embeddings of \(n\)-manifolds in \(\mathbb{RP}^{2n}\)
  • Covering maps with separators
  • Embedding coverings into bundles with applications
  • Étude homotopique des espaces de plongements
  • Bordism and Geometric Dimension.
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