Monday, 5 January 2015

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, …, 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

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