nLab regular homotopy

Let $M, N$ be manifolds, and let $Imm(M, N)$ denote the space of immersions of $M$ in $N$, with the compact-open topology. A regular homotopy between immersions $f, g: M \to N$ is a path $\alpha: I \to Imm(M, N)$ where $\alpha(0) = f$ and $\alpha(1) = g$.