What is product space in the context of quantum mechanics?

[sndtam]

I am trying to learn Quantum Mechanics from Susskind`s Lectures over Youtube.When explaining the concept of Entanglement,he says Product space is some sort of tensor product.I really can`t understand this.What exactly is product space??

 

[strangerep]

[...] Product space is some sort of tensor product.I really can`t understand this.What exactly is product space??

Try this:
http://en.wikipedia.org/wiki/Tensor_product_of_Hilbert_spaces

The explanation in Ballentine's QM textbook is also helpful (and more pedestrian).