Derived Completions in Stable Homotopy theory

• Autores: Gunnar Carlsson
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 212, Nº 3, 2008, págs. 550-577
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2007.06.015
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• Resumen

  • We introduce a notion of derived completion applicable to arbitrary homomorphisms of commutative S-algebras, and work out some of its properties, including invariance results, a spectral sequence proceeding from purely algebraic information to the geometric results, and analysis of relationships with earlier constructions. We also provide some examples. The construction has applications in algebraic K-theory.