Does shopify products have category?

Question

I working on an e-commerce website, similar to ebay, Etsy, etc

I want to build an app, where someone with a shopify store can sync their products on my e-commerce website... so, I want Shopify to be the source of information and I want to create the corresponding products on my website.

What I don't know is how to determine the category of the product... my e-commerce website, has it's own categories, for example, women:shirts, men:shirts, women:shoes, sports:shirts, sports:camping-gear, etc

I can see the I can read product info from shopify, but is there any way that I could determine which category I should use? I cannot see any category info in shopify, it's only product title, and description... Does shopify have a category for each product that I could map to my categories?