  We consider here kinematical quantization: a first and often overlooked step
in quantization procedures. $\mathbb{R}$, $\mathbb{R}_+$ and the interval are
considered, as well as direct (Cartesian) products thereof. Some simple
minisuperspace models, and mode by mode consideration of slightly inhomogeneous
cosmology, have indefinite signature versions of such kinematical
quantizations. The examples in the current paper build in particular toward the
case of vacuum $\mathbb{S}^3$ slightly inhomogeneous cosmology's mode
configuration space, which is mathematically a finite time interval slab of
Minkowski spacetime.
