In the short story Miss Brill what in the story seems to be a symbol of Miss Brill? and what are the similaritiesno

The symbol of Ms. Brill is her prized fur.  It is locked
up in a box, comes out when it is time to take a special outing, is "frozen in time",
hidden in the dark and, in the words of the young couple that insults Ms. Brill AND her
fur, it was odd and scary looking, old, used, and looked worn
out.

Similarly, Ms. Brill is a lonely woman, also frozen in
time as it is obvious that she and her persona have not moved on with time as it should,
and lives cooped up in a dark, lonely apartment in which she lives in a form of
artificial happiness, just like her fur provides her an artificial
luxury.

In all the fur represents the old age, isolation,
and nature of life of Ms. Brill.