Language Universal Models

Language Universal Models  
                         
1. Repeated Integral Model1.1 Hyperbolic volume Volume of Language1.2 Hyperbolic space Hyperbolic Space Language
2. Minimal Model2.1 Free group Notes for KARVESKIJ Sergej, “Du dualisme asymétrique du signe linguistique”
2.2 Fundamental group Description of Language2.3 de Rham complex Structure of Word2.4 de Rham complex on spherical surface Condition of Meaning
3. Knot Theory Model3.1 Hida deformation space Loop Time f Character
4. Jones-Witten Theory Model4.1 Witten invariant Symmetry of Language
5. Moduli Model5.1 Projective algebraic manifold Completion of Language5.2 Projective algebraic manifold Meaning Minimum of Language
6. Arithmetic Geometry Model6.1 Riemann-Roch Formula Language, Word, Distance, Meaning and Meaning Minimum
7. Projective Space Model7.1 Grothendieck theorem Vector Bundle Model
8. Diophantine Approximation Model-Diophantine Language
8.1 Faltings theorem Finiteness of Words
8.2 Noguchi, Winkelmann theorem Dimension of Words
Tokyo
January 25, 2012
February 1, 2012 Added
Sekinan Research Field of Language