Twisted homotopy theory and the geometric equivariant 1-stem

DOI10.1016/S0166-8641(02)00183-9zbMath1029.55010MaRDI QIDQ1873733

James Cruickshank

Publication date: 27 May 2003

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

zbMATH Keywords

equivariant homotopytwisted cohomology theorytwisted homotopy

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) Homotopy groups, general; sets of homotopy classes (55Q05) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Equivariant homotopy theory in algebraic topology (55P91)

Related Items (2)

Equivariant cohomotopy implies orientifold tadpole cancellation ⋮ Computation of the equivariant 1-stem.

Cites Work

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• Transformation groups
• Singular homology and cohomology with local coefficients and duality for manifolds
• Degree of certain equivariant maps into a representation sphere
• Bordism, stable homotopy and Adams spectral sequences
• Open maps, colimits, and a convenient category of fibre spaces
• Existence and uniqueness of equivariant triangulations of smooth proper G-manifolds with some applications to equivariant Whitehead torsion
• Classifying Spaces and Infinite Symmetric Products
• Convenient categories for topology

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