  An s-set is an algebraic generalization of the regular s-manifold introduced
by Kowalski, one of the generalized symmetric spaces in differential geometry.
We prove that suitable s-sets give birth to dynamical Yang-Baxter maps,
set-theoretic solutions to a version of the quantum dynamical Yang-Baxter
equation. As an application, Hopf algebroids and rigid tensor categories are
constructed by means of these dynamical Yang-Baxter maps.
