Theorems · Definition · category theory

HomotopyCategory.plus

(C : Type u_1) →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [inst_1 : CategoryTheory.Preadditive C] → CategoryTheory.ObjectProperty (HomotopyCategory C (ComplexShape.up ℤ))

The property of objects in HomotopyCategory C (.up ℤ) whose underlying cochain complex is bounded below. (Note: this property of objects is not closed under isomorphisms.)

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.Plus

Cited by

9 results in Mathlib

Foundations

Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive