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Journal of Dynamical Systems and Geometric Theories cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

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Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

Issues up to 2022 co-published with and available at:Taylor & Francis
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Open Access Original Articles

A Fundamental Group for Dynamical Systems III: Simple Compactifications

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pp. 91–105Vol. 2Issue 1January 2004DOI: 10.1080/1726037X.2004.10698483XML
Received:
24 Nov 2003
Published Online:
03 Jun 2013
Article type:
Original Articles
Language:
EN
Article no.:
1726037X.2004.10698483
Pages:
91–105

Abstract

This paper continues exploration of a recent homotopy construction for group-sets. It characterizes the fundamental group of the standard one point and two point compactifications of . Each is a free profinite group on two generators. However, the canonical morphism between them does not induce an isomorphism on homotopy groups.

Keywords

References

  1. Feit, P.1999 . A Fundamental Group for Dynamical Systems I: Definitions . , 66 ( Part I ) : 51 – 86 .
  2. Feit, P.2004 . A Fundamental Group for Dynamical Systems II: Z . , 2 : 81 – 90 .
  3. Lubkin, S.1962 . Theory of Covering Spaces . , 104 : 205 – 238 .
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