Once again the opportunity has arisen
to explain in simple language what's going on hereinabove.
This is topology for the common man.
GLOSSARY:
Topology: the study of bottle caps, screw-on jar lids, catsup bottle
lids, and toupees. (You see, all part of the set X="tops").
Totally disconnected: the state of being out of touch with reality.
Aunt Minerva's been in and out of psychiatric hospitals for years, and she's
heavily medicated. She's a delightful old dear, but is indeed totally
disconnected.
Cantor set: when the singing rabbi does a few numbers, then sits
down and takes a break. The typical Cantor does two sets, one at the beginning
of the service, and one at the end.
Cardinality: anything to do with a certain species of bird, the male
of which displays fiery red-colored plumage.
Continuum: When one cleans with a vacuum cleaner, the act is referred
to as "vacuuming." I will vacuum, she vacuums, I am vacuuming, we have vacuumed.
However, if one stops this act and then resumes it, one may say "I will
continuum."
R!: C'mon, silly, the middle initial of "Toys Я Us," with
exclamation added.
Homeomorphic: I don't know what this is, but I'm pretty sure it has to
do with that Brokeback Mountain stuff.
"Equipped with the product topology:" a line used by computer
salesmen to get you to buy the top-of-the-line machine that's
loaded with features.
_______
The definition is sublime. It makes so much sense. The phrase "each of
its members is its own connected component" has to do with a gentleman's, ahem,
member. Any man worth his salt should be pretty damn sure that his member is a
connected component. Hey, remember the gal who cut her boyfriend's member off? His
member wasn't connected anymore.