Conjecture for synthesis of meaning in word

Synthesis 

1 Conjecture for synthesis of meaning in word
29/09/2013 19:25
For synthesis of meaning in word, Conjecture: Condition for synthesis of meaning in word is proposed by cohomological expression.

2 Conjecture: Condition for synthesis of meaning in word
29/09/2013 18:38
On condition for synthesis of meaning in word,  at conjecture is proposed  by the next result of etale cohomology.
Result
——————————————————-
Canonical natural equivalence
The next two are left exact additional functors.
F: A  -> A’ 
G: A’ -> A”
A and A’ have enough many injective objects.
If F transfers A’ s injective obect to G acyclic object, the next canonical natural equivalence is concluded.
R ( G O F ) =~ RG O RF.
——————————————————–
Conjecture
Preparation
Word is shown by R. This word is called old word.
Base meaning in word is shown by F.
Word that has base meaning is shown by RF.
Additional meaning to word is shwon by G.
Word that has additional meaning is shown by RG. This word is called intermediate word.
Word that has base meaning and additional meaning is shown by R ( G O F ). This word is called new word.
Conjecture
For completion of new word, old word and intermediate word have the condition shown by the canonical natural equivalence of etale cohomology.

3 Canonical natural equivalence
29/09/2013 18:08
Canonical natural equivalence
The next two are left exact additional functors.
F: A  -> A’ 
G: A’ -> A”
A and A’ have enough many injective objects.
If F transfers A‘s injective obect to G acyclic object, the next canonical natural equivalence is concluded.
R ( G O F ) =~ RG O RF.

Dimension Conjecture at Synthesis of Meaning

TANAKA Akio

Tokyo

9 September 2013

hillseversunlit

1.

The image lm(δX) of Map δ_χ  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

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.

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^! : CH_r(Z‘) → CH_r–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.