Monday 22 July 2013

Duality of Language

Duality of Language


1. Theorem(Poincaré duality)
For oriented compact n-dimension topological manifold M,
biliear form

is exact,
 and  become dual space each other.

2. Interpretation
Word := MBoundary of language := pDual language :=  and Language := 
3. Explanation
Word is compact and has dimension.
Language has dimension.
Language has boundary.
Boundary makes dual language.

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