Process of Writing Dimension Decrease Conjecture / 3 November 2014

Process of Writing Dimension Decrease Conjecture

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 meaning, dimension of word is decreased by dimension of additional  meaning.
Refer to the next.
Dimension Conjecture at Synthesis of Meaning. 9 September 2013. hillseverzoho.

2. SAITO Shuji, SATO Kanetomo
24/09/2013 10:14
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 the next.
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.

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The upper is the process of writing Dimension Decrease Conjecture. The paper was written on the webnode site's News page of SRFL. So the time of writing was precisely remained.
The present SRFL's webnode site is the next.
webnode: SRFLNote

TANAKA Akio
Tokyo
3 November 2014
Sekinan Research Field of Language