Wednesday, 13 March 2024

Synthesis of Meaning and Transition of Dimension 2013

 

Synthesis of Meaning and Transition of Dimension


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! : CHr(Z') → CHr–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 from old word a deducting additional meaning's codimension.

[Conjecture]

Word has dimension. Additional meaning decreases dimension of word.


[References]

1.

hillseverzoho

¶ Arithmetic Geometry Language

¶ Finite Generative Language

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