A **triangulated category** is a mathematical category inspired by the homotopy category of spectra, and the derived category of an abelian category. A **t-category** is a triangulated category with a **t-structure**.

Read more about Triangulated Category: History, Definition, Cohomology in Triangulated Categories, Examples, T-structures

### Other articles related to "triangulated category, triangulated, category":

**Triangulated Category**- T-structures

... Verdier introduced

**triangulated**categories in order to place derived categories in a

**category**-theoretic context for every abelian

**category**A there exists a

**triangulated category**D(A ... derived categories, so that it is impossible to reconstruct A from the

**triangulated category**D(A) ... A partial solution to this problem, is to impose a t-structure on the

**triangulated category**D ...

### Famous quotes containing the word category:

“The truth is, no matter how trying they become, babies two and under don’t have the ability to make moral choices, so they can’t be “bad.” That *category* only exists in the adult mind.”

—Anne Cassidy (20th century)

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