Atoms in the p-localization of Stable Homotopy Category

• Date: 2014
• Main Authors: Drozd, Yu. A., Kolesnyk, P. O., Дрозд, Ю. А., Колесник, П. О.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2148
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study p-localizations, where p is an odd prime, of the full subcategories \( {\mathcal{S}}^n \) of stable homotopy category formed by CW-complexes with cells in n successive dimensions. Using the technique of triangulated categories and matrix problems, we classify the atoms (indecomposable obj...