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Find a triangulation of the projective plane which uses the fewest possible simplices.
Solution
I AM GIVING YOU A RESPONSE FROM THE NET .
SUPPOSE WE HAVE A COVERING MAP FROM ONE SPACE TO ANOTHER .IN
PARTICULAR SINCE THE MAP
[X , Y ] ..TO...[2X , 2Y ] IS A COVERING MAP FROM THE FLAT TORUS TO ITSELF , WE
HAVE ..
4F[T^2] = F[T^2] WHICH PROVIDES AN ALTERNATE PROOF THAT ..F[T^2] = 0
IF YOU WANT MORE IN DETAIL PLEASE TRY POSTING THE QUESTION IN
COMPUTER SCIENCE BOARD..

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Find a triangulation of the projective plane which uses the fewest p.pdf

  • 1. Find a triangulation of the projective plane which uses the fewest possible simplices. Solution I AM GIVING YOU A RESPONSE FROM THE NET . SUPPOSE WE HAVE A COVERING MAP FROM ONE SPACE TO ANOTHER .IN PARTICULAR SINCE THE MAP [X , Y ] ..TO...[2X , 2Y ] IS A COVERING MAP FROM THE FLAT TORUS TO ITSELF , WE HAVE .. 4F[T^2] = F[T^2] WHICH PROVIDES AN ALTERNATE PROOF THAT ..F[T^2] = 0 IF YOU WANT MORE IN DETAIL PLEASE TRY POSTING THE QUESTION IN COMPUTER SCIENCE BOARD..