Skip to main content
MathOverflow

Return to Question

Became Hot Network Question
corrected typos in my name
Source Link
Leonid Positselski
Leonid Positselski
  • 15.6k
  • 1
  • 57
  • 95

Exact sequences in Positskelski'sPositselski's coderived category induce distinguished triangles

I am learning about Positselki'sPositselski's co- and contraderived categories. We know that short exact sequences do not generally induce distinguished triangles in the homotopy category but they do in the usual derived category. So I wonder whether a short exact sequence of DG-Modules (or CDG) over a DG-Ring give exact triangles in the co- and/or contraderived category.

Exact sequences in Positskelski's coderived category induce distinguished triangles

I am learning about Positselki's co- and contraderived categories. We know that short exact sequences do not generally induce distinguished triangles in the homotopy category but they do in the usual derived category. So I wonder whether a short exact sequence of DG-Modules (or CDG) over a DG-Ring give exact triangles in the co- and/or contraderived category.

Exact sequences in Positselski's coderived category induce distinguished triangles

I am learning about Positselski's co- and contraderived categories. We know that short exact sequences do not generally induce distinguished triangles in the homotopy category but they do in the usual derived category. So I wonder whether a short exact sequence of DG-Modules (or CDG) over a DG-Ring give exact triangles in the co- and/or contraderived category.

Source Link
So Let
So Let
  • 43
  • 3

Exact sequences in Positskelski's coderived category induce distinguished triangles

I am learning about Positselki's co- and contraderived categories. We know that short exact sequences do not generally induce distinguished triangles in the homotopy category but they do in the usual derived category. So I wonder whether a short exact sequence of DG-Modules (or CDG) over a DG-Ring give exact triangles in the co- and/or contraderived category.