Synthesis of Meaning and Transition of Dimension / 6 September 2013

 

Synthesis of Meaning and Transition of Dimension / 6 September 2013

TANAKA Akio

Tokyo
6 September 2013

[Preparation]
1.

Chow group of r-cycles

2.

Bass conjecture

 is finitely generative Abel group.

3. 

Transition Theorem
The next i and j are regular closed immersion of codimension c, d. 

i:X→Y, j:Y→Z

Here is  given Cartesian diagram of the next scheme.

X'—^i'→Y'— ^j'→Z'
↓         ↓        ↓
X—ⁱ→Y— ^j →Z

At this time the next equality sign is set up.

(j O i)^! = i^! O j^! : CH_r(Z') → CH_r–c–d(X')

[Consideration]

1.
Synthesis of meaning of old word to new word is perfectly done by Transition theorem.

2.
New word dimension decreases a deducted additional meaning's codimension from old word  .

[Conjecture]

Word has dimension. Additional meaning decreases dimension of word.

[References]

1.

hillseverzoho / Arithmetic Geometry Language

• Dimension of Language

2.

atbankofdamzoho / Finite Generative Language

• Chow group of r-cycles

• Bass conjecture

3.
Essay

•  True-false problem of the Crete
•  Macro Time and Micro Time

4.

ifbetrue

•  Language, amalgamation of mathematics and physics
  
  
  27 March 2024
  From Author;
  This paper is important for me, but now I think that more study is needed on algebraic dimensional way to mathematical exactitude.