Bredon homology and ramified covering \(G\)-maps

DOI10.1016/j.topol.2009.09.009zbMath1229.55010OpenAlexW1977904131MaRDI QIDQ1044873

Carlos Prieto, Marcelo A. Aguilar

Publication date: 15 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2009.09.009

zbMATH Keywords

transferhomotopy groupsMackey functors\(G\)-simplicial complexes\(G\)-simplicial setsequivariant Bredon homologyequivariant ramified covering mapsequivariant weak homotopy equivalence axiom

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Equivariant homology and cohomology in algebraic topology (55N91) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Low-dimensional topology of special (e.g., branched) coverings (57M12) Simplicial sets and complexes in algebraic topology (55U10) Equivariant homotopy theory in algebraic topology (55P91) Transfer for fiber spaces and bundles in algebraic topology (55R12)

Cites Work

• Transfers for ramified covering maps in homology and cohomology
• Erratum to ``Equivariant homotopical homology with coefficients in a Mackey functor [Topology Appl. 154 (15) (2007) 2826-2848]
• Topological groups and Mackey functors
• Simplicial ramified covering maps
• Transfer and ramified coverings
• Ramified coverings, orbit projections and symmetric powers
• Filtrations on the homology of algebraic varieties
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