The homotopy groups of L2 localization of the Ravenel spectra T(m)/v1 at the prime two
Document title: The homotopy groups of L2 localization of the Ravenel spectra T(m)/v1 at the prime two
Journal: Boletín de la Sociedad Matemática Mexicana
Database: PERIÓDICA
System number: 000345592
ISSN: 0037-8615
Authors: 1
2
Institutions: 1Kochi National College of Technology, Department of Integrated Arts and Sciences, Kochi. Japón
2Kochi University, Faculty of Science, Kochi. Japón
Year:
Season: Abr
Volumen: 16
Number: 1
Pages: 53-61
Country: México
Language: Inglés
Document type: Artículo
Approach: Experimental, analítico
English abstract The Ravenel spectra T (m) for non-negative integersminterpolate between the sphere spectrum and the Brown-Peterson spectrum. It admits an essential self-map α: Σ2p−2T (m) → T (m), whose cofiber we denote by T (m)/v1. In this note, we work in the two-local stable homotopy category and study the homotopy groups of the Bousfield localization of T (m)/v1 with respect to the v2-inverted Brown-Peterson spectrum
Disciplines: Matemáticas
Keyword: Matemáticas puras,
Espectro de Ravenel,
Grupos de homotopía,
Localizacion de Bousfield-Ravenel
Keyword: Mathematics,
Pure mathematics,
Ravenel spectrum,
Homotopy groups,
Bousfield-Ravenel localization
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