nLab locally constant stack

Definition

A constant stack is a section of a constant 2-stack.

Pattern

• A locally constant function is a section of a constant sheaf;

• a locally constant sheaf is a section of a constant stack;

• a locally constant stack is a section of (… and so on…)

• a locally constant ∞-stack is a section of a constant ∞-stack.

A locally constant sheaf / $\infty$-stack is also called a local system.

References

• Pietro Polesello, Ingo Waschkies, Higher monodromy , Homology, Homotopy and Applications, Vol. 7(2005), No. 1, pp. 109-150; arXiv:0407507