Wigs, Hair extension, false eyelashes and false nails are not allowed for Muslims. They are haram for Muslims women.

Some men especially those who are bold wear wigs. However wigs are haram for Muslim men.i

Asmaa’ bint Abi Bakr said: “A woman came to the Prophet (peace and blessings of Allah be upon him) and said, ‘O Messenger of Allah, I have a daughter who is going to be married; she had a fever and lost much of her hair – can I give attach false hair to her head?’ He said: ‘Allah has cursed the one who attaches false hair and the one who has this done.’” 
(Reported by Muslim, 3/1676).

 Jaabir ibn ‘Abdullaah said: “The Prophet (peace and blessings of Allah be upon him) issued strict instructions that no woman should add anything to her head.” (Reported by Muslim, 3/1679).