Dimension Conjecture at Synthesis of Meaning |
Tokyo
9 September 2013
1.
The image lm(δX) of Map δχ is expressed by Zr(X)rat .
Here the next Chow group of r-cycle is defined.
CHr(X):=Zr(X)/Zr(X)rat .
<Birth of New Word>
Bass conjecture
Bass conjecture
For scheme X that is finite type on Z≥0 and intger r≥o, CHr(X) is finite generative Abel group.
♦
If language be the upper X, word is defined by CHr(X) that is finite generative.
2.
<Synthesis of Meaning>Transition theorem
The next i and j are regular closed immersion of codimension c,d. i:X→Y, j:Y→ZHere is given Cartesian diagram of the next scheme.
<Synthesis of Meaning>Transition theorem
The next i and j are regular closed immersion of codimension c,d. i:X→Y, j:Y→ZHere 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‘)
♦
If additional meaning be defined by the upper i and j, there is synthesis of meaning.
3.
<Dimension of New Word>
If word be defined by CHr(X) and additional meaning is defined by i and j, the dimension of new word is deduced from old word’s r to r-c-d.
4.
<Dimension Conjecture at Synthesis of Meaning>
When word synthesises meaning, word reduces own dimension according to codimension of additional meaning.
[Reference]
-On dimension
- Dimension of Word / 30 January 2012 / serkinanlum
- True-false problem of the Crete / 22 July 2013 / atbankofdamzoho
-OnTransition theorem
- W. Fulton. Intersection Theory. Berlin, Springer. 1988.
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