On Compact Cohomology Theories and Pontrjagin Duality

DOI10.2307/1999382zbMath0529.55004OpenAlexW2088828133MaRDI QIDQ3311312

Keith Johnson

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999382

zbMATH Keywords

Adams operationsAnderson duality functorcohomology theories with compact topological groups as valueshomology operations for complex K-theorylocally Euclidean coefficient groupsPontryagin character functorspectrum representing E-cohomology

Mathematics Subject Classification ID

Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Topological (K)-theory (55N15) Operations and obstructions in algebraic topology (55S99) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25) Duality in algebraic topology (55M05)

Cites Work

• Function spaces and duality
• Cohomology theories
• Genetics of homotopy theory and the Adams conjecture
• Universal coefficient sequences for cohomology theories of CW-spectra. II
• Etale homotopy
• Pontrjagin Duality for Generalized Homology and Cohomology Theories
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