Every man praying or prophesying with his head covered, disgraceth his head. But every woman praying or prophesying with her head not covered, disgraceth her head:for it is all one as if she were shaven. For if a woman be not covered, let her be shorn. But if it be a shame to a woman to be shorn or made bald, let her cover her head. The man indeed ought not to cover his head, because he is the image and glory of God; but the woman is the glory of the man. For the man is not of the woman, but the woman of the man. For the man was not created for the woman, but the woman for the man. Therefore ought the woman to have a power over her head, because of the angels. But yet neither is the man without the woman, nor the woman without the man, in the Lord. For as the woman is of the man, so also is the man by the woman:but all things of God. 1Cor 11:4-12.
I have to say I always found these verses somewhat mystifying, especially considering the Jewish practice of the yarmulke.