Saturday, 26 April 2025

Linguistic Note 5 Relative Space

 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, …, xn ]

C’s Ideal     I

 C x1, …, xn ] / I

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

2

Spec C  scheme    X

Structure sheaf     Ox

Neighborhood     U

Algebraic scheme    Structure morphism ( UiOx | Ui → Spec C

Algebraic scheme on 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

www.sekinan.org

 

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