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arXiv · 1401.2550

Topological classification of oriented cycles of linear mappings

Tetiana Rybalkina·Vladimir V. Sergeichuk
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Abstract

We consider the problem of classifying oriented cycles of linear mappings $F^p\to F^q\to\dots\to F^r\to F^p$ over a field $F$ of complex or real numbers up to homeomorphisms in the spaces $F^p,F^q,\dots,F^r$. We reduce it to the problem of classifying linear operators $F^n\to F^n$ up to homeomorphism in $F^n$, which was studied by N.H. Kuiper and J.W. Robbin [Invent. Math. 19 (2) (1973) 83-106] and by other authors.

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BibTeXRIS

Tetiana Rybalkina, Vladimir V. Sergeichuk. 2014-01-11. Topological classification of oriented cycles of linear mappings. https://arxiv.org/abs/1401.2550

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