Dimension Decrease Conjecture / 1 May 2014

Dimension Decrease Conjecture 

TANAKA Akio

1  Dimension conjecture of word 
23/09/2013 23:04
Word has dimension. New addition of meaning to word makes dimension of word decrease. 
Basis
Pull back map of higher Chow group
23/09/2013 16:11 
Pull-back map of higher Chow group is bijection.
Conjecture on language
When word has additional meabning, dimension of word is decreased by dimension of additional  meaning.
Refer to thenext.
Dimension Conjecture at Synthesis of Meaning. 9 September 2013. hillseverzoho . 

2  SAITO Shuji, SATO Kanetomo 
24/09/2013 10:14S
SAITO Shuji, SATO Kanetomo. Algebraic Cycle and Etal Cohomology. 2012.

3  Pull-back map of higher Chow group 
23/09/2013 16:11
Pull-back map of higher Chow group is bijection.
Conjecture on language
When word has additional meabning, dimension of word is decreased by dimension of additional meaning. 
Refer to thenext.
Dimension Conjecture at Synthesis of Meaning. 9 September 2013. hillseverzoho .

4  Y. Nesterenko, A. Suslin 
23/09/2013 15:30
Y. Nesterenko, A. Suslin.
Homology of the general linear group over a local ring, and Milnor’s  K -theory. Math. 1990.

5  Higher Chow ring 
23/09/2013 15:21
Double graded Abel group becomes double graded ring by defined intersection product.
Its product become commutative at one degree and become noncommutative at the another degree.

6  W.Fulton 
23/09/2013 11:01
W. Fulton.  Intersection Theory , 2nd ed. 1988.
Refer to the next.
Dimension Conjecture at Synthesis of Meaning. 9 September 2013. hillseverzoho .

7  V. Vodoedsky 
22/09/2013 20:09V.
V. Vodoedsky
On motivic cohomology with Z/2-coefficients . Math.98. 2003.
On motivic cohomology with Z/l-coefficients . Ann. of Math.

8  Map that norm residue map induces 
22/09/2013 20:03
When  k  is field and  n  is commutative integer, map that norm residue map induces is bijection.


Tokyo 
1 May 2014 
SIL