I am reading an article on homology and manifolds, and came across this notation for a vector space: $\mathbb{Z}/2\mathbb{Z}$. Specifically, the text of the article says:
For simplicity, our treatment of persistence modules adapted from [7] is restricted to $\mathbb{Z}/2\mathbb{Z}$-vector spaces (in general, persistence can be defined for vector spaces over any field, $\mathbb{Z}/2\mathbb{Z}$ is used here for computational simplicity).
Does this represent the set of vector spaces with only odd integers? That does not make much sense. I was not clear on the intent here.
$\mathbb{Z}/2\mathbb{Z}$ is just the field with $2$ elements which is more commonly denoted by $\mathbb{F}_2$.
So the article doesn't look at "the vector space $\mathbb{Z}/2\mathbb{Z}$" but rather on vector spaces over the field $\mathbb{Z}/2\mathbb{Z}$.