British Dopers: re Torches

The first and third are both also called undershirts.

The second one – I haven’t seen this sold or worn as an undershirt. They’re usually worn in the gym or on the beach and are usually called “muscle shirts.”

The T-shirts sold as short-sleeve undershirts are not the same type/weight of cloth as the T-shirts sold as outerwear. And they’re almost always white. Sometimes people do wear an undershirt and nothing else (either the T-shirt/short-sleeve or the wife-beater variety) but it’s pretty obvious to the viewer that it’s meant to be worn as an undershirt.