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Analogues of Takens' theorems for generalized actions of the group ℤ ∞. / Begun, N. A.; Pilyugin, S. Yu.

In: Vestnik St. Petersburg University: Mathematics, Vol. 43, No. 4, 20.12.2010, p. 198-203.

Research output: Contribution to journal › Article › peer-review

Harvard

Begun, NA & Pilyugin, SY 2010, 'Analogues of Takens' theorems for generalized actions of the group ℤ ∞', Vestnik St. Petersburg University: Mathematics, vol. 43, no. 4, pp. 198-203. https://doi.org/10.3103/S1063454110040023

APA

Begun, N. A., & Pilyugin, S. Y. (2010). Analogues of Takens' theorems for generalized actions of the group ℤ ∞. Vestnik St. Petersburg University: Mathematics, 43(4), 198-203. https://doi.org/10.3103/S1063454110040023

Vancouver

Begun NA, Pilyugin SY. Analogues of Takens' theorems for generalized actions of the group ℤ ∞. Vestnik St. Petersburg University: Mathematics. 2010 Dec 20;43(4):198-203. https://doi.org/10.3103/S1063454110040023

Author

Begun, N. A. ; Pilyugin, S. Yu. / Analogues of Takens' theorems for generalized actions of the group ℤ ∞. In: Vestnik St. Petersburg University: Mathematics. 2010 ; Vol. 43, No. 4. pp. 198-203.

BibTeX

@article{0ea91dca937e459a99732c9b29d2c085,
title = "Analogues of Takens' theorems for generalized actions of the group ℤ ∞",
abstract = "The notion of a generalized action of the group ℤ ∞ on a topological space generated by an arbitrary countable family of pairwise commuting homeomorphisms is introduced, and a study of generalized orbits under such actions is given. Analogues of Takens' theorems on the genericity of the maximal and minimal e{open}-equivalences for such actions are obtained.",
keywords = "generalized action, generalized orbit, maximal and minimal equivalences",
author = "Begun, {N. A.} and Pilyugin, {S. Yu}",
note = "Copyright: Copyright 2012 Elsevier B.V., All rights reserved.",
year = "2010",
month = dec,
day = "20",
doi = "10.3103/S1063454110040023",
language = "English",
volume = "43",
pages = "198--203",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "4",

}

RIS

TY - JOUR

T1 - Analogues of Takens' theorems for generalized actions of the group ℤ ∞

AU - Begun, N. A.

AU - Pilyugin, S. Yu

N1 - Copyright: Copyright 2012 Elsevier B.V., All rights reserved.

PY - 2010/12/20

Y1 - 2010/12/20

N2 - The notion of a generalized action of the group ℤ ∞ on a topological space generated by an arbitrary countable family of pairwise commuting homeomorphisms is introduced, and a study of generalized orbits under such actions is given. Analogues of Takens' theorems on the genericity of the maximal and minimal e{open}-equivalences for such actions are obtained.

AB - The notion of a generalized action of the group ℤ ∞ on a topological space generated by an arbitrary countable family of pairwise commuting homeomorphisms is introduced, and a study of generalized orbits under such actions is given. Analogues of Takens' theorems on the genericity of the maximal and minimal e{open}-equivalences for such actions are obtained.

KW - generalized action

KW - generalized orbit

KW - maximal and minimal equivalences

UR - http://www.scopus.com/inward/record.url?scp=84859709022&partnerID=8YFLogxK

U2 - 10.3103/S1063454110040023

DO - 10.3103/S1063454110040023

M3 - Article

AN - SCOPUS:84859709022

VL - 43

SP - 198

EP - 203

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 4

ER -

ID: 71240028