Synthesis of Meaning and Transition of Dimension
TANAKA Akio
is finitely generative Abel group.
New word dimension decreases from old word deducting additional meaning's codimension.
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.
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
↓ ↓ ↓
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.Synthesis of meaning of old word to new word is perfectly done by Transition theorem.
New word dimension decreases from old word deducting additional meaning's codimension.
[Conjecture]
Word has dimension. Additional meaning decreases dimension of word.
[References]
1.
hillseverzoho / Arithmetic Geometry Language
- Dimension of Language
2.
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