Nested Cube, Nested Torus and Cut-Tube-Ring
-Toward Homology Group-
A
1 Language has substantiality.
Refer to the following paper.
Quantum Language Substantiality of Language Tokyo February 21, 2006
2 Language is expressed by cube. Developing cube is expressed by nested cube.
Refer to the following paper.
Cube Theory Dimension Tokyo March 22, 2006
3 Language is also expressed by torus. Developing torus is expressed by nested torus.
Refer to the following paper.
Nested Torus Theory Nested Torus Theory Tokyo May 27, 2006
4 Cube is transformed to tube-ring. Developing tube ring is expressed by cut-tube-ring.
Refer to the following paper.
Tube-Ring Theory Cut and Glue Tokyo July 7, 2006
5 Nested situations of cube, torus and tube-ring contain time dimension. The dimension expresses freedom.
Refer to the following paper.
Tube-Ring Theory Freedom and String Hinoemata July 16, 2006
6 Language’ structure that is succeeded from substantiality to freedom is concerned with KARCEVSKIJ’s theme, “Du dualisme asymétrique du signe linguistique”.
Refer to the following subject.
For KARCEVSKIJ Sergej Origination of Quantum Linguistics
B
7 Nested cube is an orthogonal objection of 4 dimensional supercube. viewpoint (0, 0, 0, h) h=∞ screen w w = [-1, 1]
8 Nested torus is a point objection of 3 dimensional supertorus.
9 Cut-tube-ring has not nested situation. Cut-tube-ring has free from dimensional variation. Cut-tube-ring is an invariant.
Refer to the following paper.
Quantum Semantics Topological Tolerance Tokyo June 7, 2006
10 Language has a linguistic universal.
Refer to the following paper.
Tube-Ring Theory True and False –Hierarchy of Language- Tokyo July 28, 2006
11 Linguistic universals is probably an inevitable theme of CHINO Eiichi in the work.
Refer to the following subject.
For CHINO Eiichi A Time of Linguistics Tokyo
C
12 Cut of cut-tube-ring is concerned with Charn-Simons Invariant for the ring’s solidity.
Refer to the following paper.
13 Linguistic unversals will be examined from topological invariant.
14 Topological invariant is concerned with homology group, especially 3 dimensinal hyperbolic space.
Tokyo August 12, 2006