Term for a toroidal-shaped, winter garment worn on the neck, not scarf, often made of polar fleece (pictures)

The question title describes very succintly the object I'm looking it's name or term in English. I know the name in spanish in Argentina, it's "cuello polar", cuello means neck, polar refers to "polar fleece" a type of cloth. It's not a scarf

Here there is search of images of "cuello polar",

These are typical:

Note: This can be worn as a hat to cover one's head too, but it's not ideal, since it's open on both ends and the top of the head with the hole could be exposed, in comparison to a real closed winter hat.

Is worn around the neck, it's toroidal shaped, it's made of polar fleece often, it's goal it's to warm the neck but also can be used to cover mouth and nose, it's normally used in winter with low temperatures.

Solution 1:

There doesn't seem to be consensus (though I do feel like if I was currently in a colder climate a word would immediately come to mind).

Buffwear is a clothing company that sells this product. They refer to generically as a neck warmer.

REI, the outdoor equipment company, refers to the category as neck gaiters.

[Edit] Taking this distinction from Choster in the comments:

Neck gaiter seems to be the term favored by outdoor recreation equipent manufacturers and retailers, whereas neck warmer comes first for department stores and Etsy accounts, although there is considerable overlap. e4hats.com calls the category neck bands, a subcategory of bands & warmers.

Solution 2:

There's a garment serving that function that is called a snood in UK English. See for instance here.