Authors introduce property XX for automatic continuity and prove that End^∞(N,≤) has a unique Polish semigroup topology while End(N,≤), End(Z,≤) have infinitely many and End(N,<) has continuum many.
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Polish topologies on endomorphism monoids of linear orders
Authors introduce property XX for automatic continuity and prove that End^∞(N,≤) has a unique Polish semigroup topology while End(N,≤), End(Z,≤) have infinitely many and End(N,<) has continuum many.