Wednesday 26 October 2022

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 and are regular closed immersion of codimension cd
i:XYj:YZ
Here is  given Cartesian diagram of the next scheme.
X'i'Y' j'→Z'
↓  ↓  ↓
XiY 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 adeducting additional meaning's codimension.

[Conjecture]
Word has dimension. Additional meaning decreases dimension of word.

[References]

1.hillseverzoho / Arithmetic Geometry Language

2.atbankofdamzoho / Finite Generative Language3.
Essay
4.
ifbetrue

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