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Odysseus called himself Outis (=Nobody). He did not give Polyphemus a name.
The cyclops was already named Polyphemus. Odysseus did not name the cyclops.
Poseidon cursed Odysseus because Odysseus had blinded Poseidon's son, the cyclops Polyphemus. After doing this, Odysseus demonstrated his hubris by taunting Polyphemus and revealing what his actual name is. As a result, Polyphemus prayed to his father, who cursed Odysseus.
By revealing his real name, Odysseus allowed Polyphemus to curse him by name and call his father Poseidon to torment him.
saying his name was "no man."