I am reading Allen Hatcher's book of Vector bundle and K-theory. Here I have gotten that :
"Mobius band is the twisted product of a circle and a line. On the other hand annulus the product of a circle and a line."
My question is : What is the difference between "Product" and "Twisted product" ?
Also, what kind of objects are participants in "Twisted Product"? (groups, rings, fields, topological spaces or smooth manifolds?)
Thank you in advance.
Any reference or any lecture note can also help me.