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Topological Classification.pdf

UMJ_2014_66_10_11.pdf
Preview of Topological Classification
🔗 Source: jnas.nbuv.gov.ua
📊 Size: 194 KB
📄 Pages: 7 pages
⬇️ Downloads: 93

Summary

T. V. Rybalkina and V. V. Sergeichuk consider oriented cycles of linear mappings over the fields of real and complex numbers, reducing their topological classification to the classification of linear operators. They define isomorphic and topologically equivalent cycles and introduce the concept of regularizing decomposition. The authors provide a theorem that reduces the problem of topological classification of oriented cycles to the classification of linear operators and discuss the classification of cycles up to isomorphism, including the use of Jordan chains and Frobenius canonical form.

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T. V. Rybalkina and V.

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  • File Format: PDF
  • File Size: 194 KB
  • Pages: 7
  • Language: EN
  • Total Downloads: 93
  • Last Updated: 1 week ago

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