Smooth Extensions for Finite CW Complexes

DOI10.2307/2154697zbMath0822.46078OpenAlexW4248340435MaRDI QIDQ4292750

Guihua Gong

Publication date: 22 October 1995

Full work available at URL: https://doi.org/10.2307/2154697

zbMATH Keywords

smooth compact manifoldConnes noncommutative geometry\(C_ p\)-smoothnessclassify \(C_ p\)-smooth extensions modulo torsion for a general CW complex

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) (K)-theory and operator algebras (including cyclic theory) (46L80) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Ext and (K)-homology (19K33)

Related Items (2)

\(p\)-summable commutators in Bergman spaces on egg domains ⋮ Traces of Commutators of Integral Operators – the Aftermath

Cites Work

• Traces of commutators of integral operators
• Extensions of \(C^*\)-algebras and \(K\)-homology
• Extension and classification of the mappings of a finite complex into a topological group or an n-sphere
• A note on the classification of mappings of a \((2n-2)\)-dimensional complex into an \(n\)-sphere
• Smooth extensions for a finite 𝐶𝑊 complex
• C*-Algebra Extensions and K-Homology. (AM-95)
• Rational homotopy theory and differential forms
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