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Journal of Dynamical Systems and Geometric Theories cover

Journal of Dynamical Systems and Geometric Theories

(Since 2002)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X
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The Journal of Dynamical Systems and Geometric Theories (JDSGT) is a world leading journal publishing high quality, rigorously peer-reviewed original research on dynamical systems and geometry, including the interactions between these two subjects and interdisciplinary research with other branches of knowledge since 2003. Topics published by the Journal include but are not limited to: Random dynamical systems Geometry and physics Dynamical systems with hyperbolic behaviour Real and complex geometry Ergodic theory Distance geometry Topological dynamics Global differential geometry Infinite-dimensional Hamiltonian systems Symplectic geometry, contact geometry The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Chief Editor’s discretion.

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Journal of Dynamical Systems and Geometric Theories
Open Access Original Articles

A Fundamental Group for Dynamical Systems II: Zundefined

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pp. 81–90Vol. 2Issue 1January 2004DOI: 10.1080/1726037X.2004.10698482XML
Received:
20 Nov 2003
Published Online:
01 Jan 2004
Article type:
Original Articles
Language:
EN
Article no.:
1726037X.2004.10698482
Pages:
81–90

Abstract

This paper continues exploration of a recent homotopy construction for group-sets. It proves that, for p prime, and with respect to regarded as a -set, the homotopy group has a canonical identification with the kernel of the canonical projection from the profinite completion of to .

Keywords

Dynamical SystemsSymbolic DynamicsHomotopyProfinite Topology

References

Feit, P.1999 . A Fundamental Group for Dynamical Systems I: Definitions . Proc. Sym. Pure Math, 66 ( Part I ) : 51 – 86 . Lubkin, S.1962 . Theory of Covering Spaces . Trans. Amer. Math. Soc, 104 : 205 – 238 .
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