Domain pointing to sub directory

[Eliyas]

sorry havn't find the relevant forum for my question

Hello everyone
Need some advise.
I have a website mywebsite.com which has about 1000 page views and 100 visitors per day. This website also ranks good for some keywords in Google search (because of good SEO and backlinks). Now I have installed prestashop in a sub directorymywebsite.com/shop. The reason to use sub directory instead of sub domain is because I wanted my shop to benefit from its parent domain authority and popularity. My shop has three categories men, women and kidsunder the URL mywebsite.com/shop/men, mywebsite.com/shop/women and mywebsite.com/shop/kid.

Now I want to point a new domain myshop.com to mywebsite.com/shop. My question is if someone clicks on categories, what will the URL look like. Will it be myshop.com/men, myshop.com/women andmyshop.com.kid ?

PS: This way my shop will retain the authority and ranking as well as will have a good and short domain name. Is this method possible and will this method work for me?

Edited January 29, 2015 by Eliyas (see edit history)