A model for embedding finite coverings defined by principal bundles into bundles of manifolds

DOI10.1016/0166-8641(88)90030-2zbMath0644.57009OpenAlexW1986446996MaRDI QIDQ1102580

Vagn Lundsgaard Hansen

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0166-8641(88)90030-2

zbMATH Keywords

principal G-bundlelocally trivial fibrationembedding finite coveringsfibrewise embeddingG-configurationhomomorphisms into braid groupspolynomial covering mappolynomial principal G-bundles

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Low-dimensional topology of special (e.g., branched) coverings (57M12) Topology of vector bundles and fiber bundles (57R22) Classification of fiber spaces or bundles in algebraic topology (55R15)

Cites Work

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• Polynomial covering spaces and homomorphisms into the braid groups
• Construction of universal bundles. I
• Equivariant embeddings of principal \(Z_ n\)-bundles into complex vector bundles
• Embedding finite covering spaces into trivial bundles
• Imbedding smooth involutions in trivial bundles
• On the Existence of Equivariant Embeddings of Principal Bundles into Vector Bundles
• Embedding coverings into bundles with applications
• Primitive elements in rings of holomorphic functions.
• Coverings defined by Weierstraß polynomials.
• On the embedding of coverings into 1-dimensional bundles.
• On polynomial coverings and their classification.
• Configuration Spaces.
• The Secant Bundle of a Projective Variety

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