Ramified coverings, orbit projections and symmetric powers

DOI10.1017/S0305004100063933zbMath0592.55011MaRDI QIDQ3721427

Albrecht Dold

Publication date: 1986

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

transfer homomorphismramified coveringsd-fold symmetric product

Mathematics Subject Classification ID

Low-dimensional topology of special (e.g., branched) coverings (57M12) Transfer for fiber spaces and bundles in algebraic topology (55R12)

Related Items (11)

Symmetric Joins and Weighted Barycenters ⋮ Simplicial ramified covering maps ⋮ Lower bounds for the degree of a branched covering of a manifold ⋮ Simple Hurwitz numbers of a disk ⋮ On spherical functions on the group \(\mathrm{SU}(2)\times\mathrm{SU}(2)\times\mathrm{SU}(2)\) ⋮ Multivalued groups, their representations and Hopf algebras ⋮ Transfers for ramified covering maps in homology and cohomology ⋮ Topological applications of graded Frobenius $n$-homomorphisms ⋮ Branched coverings of manifolds and \textit{nH}-spaces ⋮ Bredon homology and ramified covering \(G\)-maps ⋮ Obstructions to the section problem in fibre bundles

Cites Work

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• Homology of symmetric products and other functors of complexes
• A theorem on semi-simplicial monoid complexes
• Quasifaserungen und unendliche symmetrische Produkte
• Fixed Points of Symmetric Product Mappings
• Homology with Multiple-Valued Functions Applied to Fixed Points
• Applications of the transfer to stable homotopy theory

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