Linguistic Note 3 Complex Analytic Space / July 21, 2007

Linguistic Note

3

Complex Analytic Space

　　　TANAKA Akio

Disk on Gauss plane          D( a ; r ) = { z ∈ C |  | z – a | < r }

Polydisk          Dⁿ

Polydisk      D( a ; r )  = D₁( a₁ ; r₁ ) ×…×D_n( a_n ; r_n )

Structure sheaf of polydisk         O_Dn

Complex analytic function         h _m ∈ ( Dⁿ , O_Dn )    

Sheaf of ideal          I = ( h₁, … , h_m ) O_Dn

Subset          M = V ( I )

Sheaf           O_M = O_Dn / I

Complex analytic space          ( M , O_M  )

[Note]

Space is defined by the set of functions.

Analytic space is useful to analysis for language.

Complex analytic space is enough space for immediate need.

[References]

<On imaginary language>

Mirror Theory     Tokyo June 5, 2004

Mirror Language     Tokyo June 10, 2004

Actual Language and Imaginary Language     Tokyo September 23, 2004

<On religious language>

Guarantee of Language     Tokyo June 12, 2004

<On theoretical basis>

Distance Theory     Tokyo May 5, 2004

Reversion Theory     Tokyo September 27, 2004

Warp Theory     Tokyo October 24, 2004

<On projective space>

Aurora Time Theory     Enlarged Distance Theory     Tokyo November 20, 2006

<On Quantum Theory for Language group>

Quantum Theory for Language     Map 4

Tokyo July 21, 2007

Sekinan Research Field of Language