Linguistic Note 5 Relative Space / July 23, 2007

Linguistic Note

5

Relative Space

　　　TANAKA Akio

1

Absolute space     X

Relative space     S

Morphism     f  : X → S              

S-scheme     (  X,  f  )

Structure Morphism     f     

Affine algebraic scheme     Spec A     Ring A is finite generative on C.

Polynomial ring C     C [ x₁, …, x_n ]

C’s Ideal     I

A ≅ C [ x₁, …, x_n ] / I

Affine algebraic variety     X = Spec A     A is integral domain.

2

Spec C  scheme    X

Structure sheaf     O_x

Neighborhood     U

Algebraic scheme    Structure morphism ( U_i, O_x | _Ui ) → Spec C

Algebraic scheme on C is expressed by algebraic equation.

 [Note]

Language may be seemed to be relative space against real things to be seemed as absolute space.

Language may be expressed by algebraic equation.

 [References]

Language and Spacetime     Shift of Time <From SAPIR Edward to KAWAMATA Yujiro>     Tokyo April 20, 2007

Language and Spacetime     Construction of Spacetime   Especially on Transformation with boundary for Dimensions     Tokyo April 24, 2007

Language and Spacetime     Stability of Language <For KAWAMATA Yujiro>     Tokyo April 30, 2007

Language and Spacetime     Time Flow in Word <For KOBARI Akihiro and His Time>     Tokyo May 3, 2007

Tokyo July 23, 2007

Sekinan Research Field of Language