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A topological classification of many classes of dynamical systems withregular dynamics in low dimensions is often reduced to combinatorialinvariants. In dimension 3 combinatorial invariants are proved to beinsufficient even for simplest Morse-Smale diffeomorphisms. The completetopological invariant for the systems with a single saddle point on the3-sphere is the embedding of the homotopy non-trivial knot into the manifold$\mathbb S^2\times\mathbb S^1$. If a diffeomorphism has several saddle pointstheir unstable separatrices form arcs frames in the basin of the sink andcircles frame in the orbits space. Thus, the type of embedding of the circlesframe into $\mathbb S^2\times\mathbb S^1$ is a topological invariant fordiffeomorphisms of this kind and this type turns out to be the completetopological invariant for some classes of Morse-Smale 3-diffeomorphisms.Recently it was shown that the problem of embedding of a 3-diffeomorphism intoa topological flow is interconnected with the properties of embedding of thearcs frame into the 3-Euclidean space. In this paper we consider the criteriafor the tame embedding of an arcs frame into the 3-Euclidean space as well asfor the trivial embedding of circles frame into $\mathbb S^2\times\mathbb S^1$.We apply this criteria to prove that frames of one-dimensional separatrices inbasins of sources of rough 3-diffeomorhisms with two-dimensional expandingattractor are tamely embedded and their spaces of orbits are trivial embeddingsof circles frame into $\mathbb S^2\times\mathbb S^1$.

On embedding of arcs and circles in 3-manifolds in an application to dynamics of rough 3-diffeomorhisms with two-dimensional expanding attractor