Separation and translation of Euler equations in linear topological spaces

A condition is found for the disjointness of nonempty convex cones $\Omega_i$, $\Omega\subset$ l.t.s. $X$, for the case when the $\Omega_i$ are open only in their carriers $\Pi_i$, $\operatorname{codim}\Pi_i>\infty$. Under these assumptions a theory of translation is constructed for nontrivial solutions of the Euler equation in inductive systems of l.t.s.
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