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

Time in word, 24 October 2013 / Note added 17 November 2014, Note 2 added 3 December 2014

Time in word

TANAKA Akio

Time inherent in word has been one of the most fantastic theme for me for a long period. WANG Guowei’s paper was strongly hinted to the theme towards first writing a trial paper on it. Roman Jakobson was also gave me the basic notion related with the theme. Still now the problem has not solved as the starting point. But being aided by mathematical method and description,  learning on it has become more attractive in these days.

• Trial paper: On Time Property Inherent in Characters
• Basic notion: From Cell to Manifold
• Mathematical description: Dimension Decrease Conjecture

Tokyo
24 October 2013
SIL

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[Note]

When I wrote this essay, "Time in Word" in the autumn of 2013, the relation between time and dimension cannot be thought clearly but now in 2014 I distinctly think that the relation exists at the situation of synthesis of the new meaning on the old meaning. The four papers of Arithmetic Geometry Language written between 4 September 2013 and 9 September 2013 are indicating the affinity with time and dimension. Now I show the compact paper in the four, titled " Synthesis Meaning and Transition of Dimension".

• Synthesis of Meaning and Transition of Dimension, 6 September 2014 

Four papers of Arithmetic Geometry Language are the following.

Arithmetic Geometry Language (Abbreviated AGL)

• Dimension of Language (AGL1)
• Synthesis of Meaning and Transition of Dimension (AGL 2)
• Birth of Word, Synthesis of Meaning and Dimension of New Word (AGL 3)
• Dimension Conjecture at synthesis of Meaning (AGL 4)

Tokyo
17 November 2014
SIL

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[Note 2]

The relation between time and dimension is now arranged at the following paper.

• Three Conjectures for Dimension, Synthesis and Reversion with Root and Supplement / 19 November 2014

The overview of time in language is now shown at the following paper.

• How is the time alive in language?

On WANG Guowei and Roman Jakobson, refer to the next.

• 40 years passed from I read WANG Guowei / 16 November 2013
• Roman Jakobson /16 July 2012
• Meaning minimum On Roman Jakobson, Sergej Karcevskij and CHINO Eiichi / 6 April 2013
• From Cell to Manifold, On Meaning Minimum hinted by Roman Jakobson / 2 June 2007

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[Note 3]
Essay "Pleasure of Mathematics" includes time notion related with Brownian motion.

• Pleasure of Mathematics / 15 December 2014 

Tokyo
3 December 2014
15 December 2014, Note 3 added

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