Simplicial Space Language

Home Site: ifbetrue

Autor: 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

TANAKA Akio

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  .

Meaning unit in word is given by free Abel group .

(Paper end)