Simplicial Space Language Composition of Word
Home Site: ifbetrue
Author: TANAKA Akio
Theme: Language Universals
Method: Homotopy Theory
Title: Homotopy Language
Paper 1: Simplicial Space Language
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Simplicial Space Language
Composition of Word
20 January 2013
ifbetrue
1.
is topological space.
is simplicial space.
is represented by geometric realization of 
as the next.
2.
is topological space.
is singular simplex.
is free Abelian group generated by set 
.
.
is singular chain complex of 
and has strongly convergence spectral sequence called Atiyah-Hirzebruch spectral sequence.
3.
Interpretation.
Word 
is given by geometric realization of simplicial space 
.
is given by geometric realization of simplicial space .
Meaning unit in word is given by free Abel group 
.
.
(Paper end)
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