Re: SCOUTED: Poincare Conjecture (Really) Solved?

2004-01-12 Thread David Hobby
Julia Thompson wrote: David Hobby wrote: No, I won't define sphere. And I suppose you won't define noncompressible and cow, either. Julia These must be from a different Poincare Conjecture. ---David (Insert bad homogenized

Re: SCOUTED: Poincare Conjecture (Really) Solved?

2004-01-10 Thread David Hobby
Ronn!Blankenship wrote: Very good! In fact, so good I'll let you explain the rest of the statement of the Poincare Conjecture . . . ;-) ... I have a vision of producing a definition tree for the word homeomorphism, which I'll write as an outline: homeomorphism

Re: SCOUTED: Poincare Conjecture (Really) Solved?

2004-01-10 Thread Reggie Bautista
Ronn! wrote: A is homeomorphic to B means that there is a homeomorphism which maps A to B. A homeomorphism is a bicontinuous bijection. And that's supposed to help how? ;-) Reggie Bautista ___ http://www.mccmedia.com/mailman/listinfo/brin-l

Re: SCOUTED: Poincare Conjecture (Really) Solved?

2004-01-10 Thread Julia Thompson
David Hobby wrote: No, I won't define sphere. And I suppose you won't define noncompressible and cow, either. Julia ___ http://www.mccmedia.com/mailman/listinfo/brin-l

Re: SCOUTED: Poincare Conjecture (Really) Solved?

2004-01-09 Thread Ronn!Blankenship
At 09:15 PM 1/8/04, Kevin Tarr wrote: At 09:14 PM 1/8/2004, you wrote: At 06:14 PM 1/8/04, Kevin Tarr wrote: At 06:51 PM 1/8/2004, you wrote: (For those who have forgotten their topology, the Poincare Conjecture states that every simply connected closed three-manifold is homeomorphic to the

Re: SCOUTED: Poincare Conjecture (Really) Solved?

2004-01-09 Thread David Hobby
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

Re: SCOUTED: Poincare Conjecture (Really) Solved?

2004-01-09 Thread Ronn!Blankenship
Very good! 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

Re: SCOUTED: Poincare Conjecture (Really) Solved?

2004-01-08 Thread Kevin Tarr
At 06:51 PM 1/8/2004, you wrote: (For those who have forgotten their topology, the Poincare Conjecture states that every simply connected closed three-manifold is homeomorphic to the three-sphere.) http://www.cnn.com/2004/US/West/01/07/math.mystery.ap/index.html

Re: SCOUTED: Poincare Conjecture (Really) Solved?

2004-01-08 Thread Ronn!Blankenship
At 06:14 PM 1/8/04, Kevin Tarr wrote: At 06:51 PM 1/8/2004, you wrote: (For those who have forgotten their topology, the Poincare Conjecture states that every simply connected closed three-manifold is homeomorphic to the three-sphere.)

Re: SCOUTED: Poincare Conjecture (Really) Solved?

2004-01-08 Thread Robert Seeberger
- Original Message - From: Ronn!Blankenship [EMAIL PROTECTED] To: Killer Bs Discussion [EMAIL PROTECTED] Sent: Thursday, January 08, 2004 8:14 PM Subject: Re: SCOUTED: Poincare Conjecture (Really) Solved? At 06:14 PM 1/8/04, Kevin Tarr wrote: At 06:51 PM 1/8/2004, you wrote

Re: SCOUTED: Poincare Conjecture (Really) Solved?

2004-01-08 Thread Kevin Tarr
At 09:14 PM 1/8/2004, you wrote: At 06:14 PM 1/8/04, Kevin Tarr wrote: At 06:51 PM 1/8/2004, you wrote: (For those who have forgotten their topology, the Poincare Conjecture states that every simply connected closed three-manifold is homeomorphic to the three-sphere.)