Synthesis of Meaning and Transition of Dimension |
TANAKA Akio
Tokyo
6 September 2013
6 September 2013
[Preparation]
1.
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.
¶ Arithmetic Geometry Language
¶ Finite Generative Language
Note 1
Note 2
3.
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