On the Fundamental Group of a Visibility Manifold.
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V. Schroeder (1986)
Mathematische Zeitschrift
Heiner Zieschang (1973)
Mathematische Annalen
Umed Karimov, Dušan Repovš (2012)
Open Mathematics
We calculate the singular homology and Čech cohomology groups of the Harmonic Archipelago. As a corollary, we prove that this space is not homotopy equivalent to the Griffiths space. This is interesting in view of Eda’s proof that the first singular homology groups of these spaces are isomorphic.
Antje Christensen, Stephan Rosebrock (1996)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Wilhelm Singhof (1975)
Mathematische Zeitschrift
Wilhelm Singhof (1976)
Mathematische Zeitschrift
Jaume Amorós (1996)
Commentarii mathematici Helvetici
Bardakov, V.G., Mikhajlov, R.V. (2007)
Sibirskij Matematicheskij Zhurnal
Björn Schellenberg (1973)
Mathematische Annalen
Daniele Ettore Otera (2003)
Bollettino dell'Unione Matematica Italiana
We study the simple connectivity at infinity of groups of finite presentation, and we give a geometric proof of its invariance under quasi-isometry in a special case.
Bârza, Ilie (2005)
General Mathematics
Steven Boyer, Dale Rolfsen, Bert Wiest (2005)
Annales de l’institut Fourier
We investigate the orderability properties of fundamental groups of 3-dimensional manifolds. Many 3-manifold groups support left-invariant orderings, including all compact -irreducible manifolds with positive first Betti number. For seven of the eight geometries (excluding hyperbolic) we are able to characterize which manifolds’ groups support a left-invariant or bi-invariant ordering. We also show that manifolds modelled on these geometries have virtually bi-orderable groups. The question of virtual orderability...
Szczepański, Andrzej (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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