In Ref., a model has been introduced that can be viewed as a 1D prototype of the topological nonlinear sigma models (TNSM), a subclass of the Witten-type topological field theories. The 1D TNSM is defined for Riemannian phase spaces while for Euclidean phase spaces it reduces to the Parisi–Sourlas model. Its key difference from STS is the diffusion operator which is the Hodge Laplacian for 1D TNSM and L ^ ^ e a L ^ ^ e a for STS. This difference is unimportant in the context of relation between STS and algebraic topology, the relation established by the theory of 1D TNSM (see, e.g., Refs.).