In fact, so good I'll let you explain the rest of the statement of the Poincare Conjecture . . .
;-)
At 08:09 PM 1/9/04, David Hobby wrote:
"Ronn!Blankenship" wrote: ... > >I'm too sophomoric to bother to read. > > "A is homeomorphic to B" means that there is a homeomorphism which maps A > to B. A homeomorphism is a bicontinuous bijection.
A bijection is a function that is one-to-one and onto. A function is a particular kind of set of ordered pairs. A function is one-to-one iff ...
I have a vision of producing a "definition tree" for the word homeomorphism, which I'll write as an outline:
homeomorphism bicontinuous continuous open set (undefined term) inverse image inverse bijection one-to-one image onto image (O.K., so it's not a tree...) function Cartesian product ordered pair (undefined?)
And I'm sure I left some stuff out.
---David
-- Ronn! :)
Who has his hands full on another list attempting to explain causality violation to laypeople . . .
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