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Factorization of homotopies of nanophrases
- Publication Year :
- 2009
-
Abstract
- Homotopy on nanophrases is an equivalence relation defined using some data called a homotopy data triple. We define a product on homotopy data triples. We show that any homotopy data triple can be factorized into a product of prime homotopy data triples and this factorization is unique up to isomorphism and order. If a homotopy data triple is composite, we show that equivalence of nanophrases under the corresponding homotopy can be calculated just by using the homotopies given by its prime factors.<br />Comment: 33 pages, 6 figures. Second version: Improved abstract and introduction
- Subjects :
- Mathematics - Geometric Topology
57M99 (Primary), 68R15 (Secondary)
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.0910.5281
- Document Type :
- Working Paper