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Chaotic Suspended Foliations of Topological Manifolds
Journal of Mathematical Sciences. 2023. Vol. 276. No. 1. P. 74–97.
N. I. Zhukova, N. S. Tonysheva
We construct infinite countable families of pairwise topologically nonconjugate free
chaotic groups of homeomorphisms on closed topological manifolds of different dimension.
We find new invariants of suspended foliations in some complete subcategory of
the category of foliations and use these results to construct infinite countable families of
pairwise nonisomorphic chaotic topological foliations of an arbitrary even codimension
on closed manifolds.
ООО "Издательство Юрайт ", 2026.
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Chaotic foliations generalize Devaney's concept of chaos for
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The aim of this work is to describe the structure of complete Lorentzian foliations $(M, F)$ of codimension two
on $n$-dimensional closed manifolds. It is proved that $(M, F)$ is either Riemannian or has a constant
transversal curvature and its structure is described. For such foliations $(M, F)$, the criterion is obtained,
reducing the chaos problem in $(M, ...
Added: October 6, 2020