Updated Korinthos chapter 11 Greek text

I did a study on Greek text of this chapter

Mashiach's First Letter through the Shliach Rav Sha'ul to the Assembly at Kórinthos

11:7 For a man indeed ought not to veil (katakalupto) his head, forasmuch as he is the image and glory of Elohim (אלהים): but the woman (gunaikos) is the glory of the man.
11:15 But if a woman (gunaikos) wears a tresses of long hair,
it is a glory to her:
For her hair (kome) is given her for a mantle (peribolaion).


I did a Checkout the greek ["woman" = wife; for"substitute by ; Mantle /covering = "talit-like" long scarf; Mantle give us the idea of Eliyahu mantle

http://messianic-torah-truth-seeker.org/Scriptures/Brit-Hadashah/Korinthios-Alef/Korinthios-Alef-11.htm 

By creating Man first Elohim intended him to be the head, the one who would exercise direction and authority.  The failure of Eve was that she took matter in her own hand. She should have gone to Adam and put the matter before him. Instead of allowing herself to be deceived by satan, fell into transgression and bring about destruction the whole human race. As the redemption work of Yeshua has restored the broke fellowship of Elohim and Man at the Garden of Eden. The women's head covering covers man's glory just the glorious glow of Moshe on the face when he got a gleam of Adonay had to  be covered. Her willingness of head covering is a sign of submission thus the angels in heaven longing to witness this redemptive testimonies.

Another Jewish persective is with reference to the event in Genesis chapter 6 concerning the fallen angelic beings lusted after the daughters of mortal men.