# Maximal dimension of invariant subspaces to systems of nonlinear evolution equations

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Let X and Y be topological spaces such that an arbitrary mapping f: X â†’ Y for which every preimage fâˆ’1 (G) of a set G open in Y is an FÏƒ-set in X can be represented in the form of the pointwise limit of continuous mappings f n: X â†’ Y. We study the problem of subspaces Z of...