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Stable (infinity-1)-categories

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If you have a question about this talk, please contact Andreas Holmstrom .

Standard constructions in homological/homotopical algebra such as cones and suspensions have natural homotopy (co)limit characterisations in the setting of (infinity,1)-categories (higher categories in which all the cells above dimension 1 are invertible). Here there is an abstract notion of stability which is related to properties of triangulated structure on the homotopy category, and which can be seen explicitly in the particular setting of (stable) dg-categories.

This talk is part of the Motivic stable homotopy theory study group series.

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