Jack London wrote "To Build A Fire" during the early 20th Century and it is set at the end of the 19th Century. It is set in the Yukon Territory and involves a man who has set off to meet up with his friends at the logging camp. The background historically for the text is the Klondike Gold Rush.
The race of the men in the story are assumed to be white Americans/Canadians - sometimes trappers are of French Canadian origin but in the story it is not specific. There is also reference to the native Americans in the story. The man is referred to as a chechaquo which is a Chinook word meaning newcomer. However, there are no native Americans in the this particular story.
There are only men in the story and a dog.
In terms of genre, this is a work of fiction and a short story. It is written in third person omniscient. Some of London's stories are considered adventure tales and 'To Build a Fire' is usually classed as one.
I am not sure what you mean by category.