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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2011 Volume 202, Number 3, Pages 47–68 (Mi sm7701)

This article is cited in 13 papers

Zero-dimensional solenoidal base sets

E. V. Zhuzhoma, N. V. Isaenkova

Nizhny Novgorod State Pedagogical University

Abstract: We study the dynamics of the Smale-Vietoris (SV) diffeomorphisms concentrated in base solid tori is studied, and describe possible base sets in base solid tori. We also look at the topological structure of 3-manifolds admitting diffeomorphisms of class SV.
Bibliography: 26 titles.

Keywords: solenoid, zero-dimensional set, base set.

UDC: 517.938

MSC: Primary 37C05, 57N10; Secondary 37C70

Received: 03.03.2010

DOI: 10.4213/sm7701


 English version:
Sbornik: Mathematics, 2011, 202:3, 351–372

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© Steklov Math. Inst. of RAS, 2025