Language Universal Models

Language Universal Models  

                                       

1. Repeated Integral Model
1.1 Hyperbolic volume Volume of Language
1.2 Hyperbolic space Hyperbolic Space Language

2. Minimal Model
2.1 Free group　Notes for KARVESKIJ Sergej, "Dusualisme asymétrique du signe linguistique"
2.2 Fundamental group Description of Language
2.3 de Rham complex Structure of Word
2.4 de Rham complex on spherical surface Condition of Meaning

3. Knot Theory Model
3.1 Hida deformation space Loop Time f Character

4. Jones-Witten Theory Model
4.1 Witten invariant Symmetry of Language

5. Moduli Model
5.1 Projective algebraic manifold Completion of Language
5.2 Projective algebraic manifold Meaning Minimum of Language
6. Arithmetic Geometry Model
6.1 Riemann-Roch Formula Language, Word, Distance, Meaning and Meaning Minimum

7. Projective Space Model
7.1 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