[1]

Bessières L., Besson G., Boileau M., Maillot S. and Porti J.,
Geometrisation of 3-Manifolds,
EMS Tracts Math. 13,
European Mathematical Society, Zürich, 2010.
Google Scholar

[2]

Brick S. G. and Mihalik M. L.,
The QSF property for groups and spaces,
Math. Z. 220 (1995), no. 2, 207–217.
Google Scholar

[3]

Davis M. W.,
Groups generated by reflections and aspherical manifolds not covered by Euclidean spaces,
Ann. of Math. (2) 117 (1983), 293–324.
Google Scholar

[4]

Epstein D., Cannon J. W., Holt D., Levy S., Paterson M. and Thurston W. P.,
Word Processing in Groups,
Jones and Bartlett Publishers, Boston, 1992.
Google Scholar

[5]

Funar L. and Gadgil S.,
On the geometric simple connectivity of open manifolds,
Int. Math. Res. Not. IMRN 2004 (2004), no. 24 1193–1248.
Google Scholar

[6]

Funar L. and Otera D. E.,
On the wgsc and qsf tameness conditions for finitely presented groups,
Groups Geom. Dyn. 4 (2010), no. 3, 549–596.
Google Scholar

[7]

Gersten S. M. and Stallings J. R.,
Casson’s idea about 3-manifolds whose universal cover is ${\mathbb{R}}^{3}$,
Internat. J. Algebra Comput. 1 (1992), no. 4, 395–406.
Google Scholar

[8]

Mihalik M. L. and Tschantz S. T.,
Tame combings of groups,
Trans. Amer. Math. Soc. 349 (1992), 4251–4264.
Google Scholar

[9]

Otera D. E.,
Topological tameness conditions of spaces and groups: Results and developments,
Lith. Math. J. 56 (2016), no. 3, 357–376.
Google Scholar

[10]

Otera D. E.,
On Poénaru’s inverse-representations,
Quaest. Math., to appear.
Google Scholar

[11]

Otera D. E. and Poénaru V.,
“Easy” representations and the qsf property for groups,
Bull. Belg. Math. Soc. Simon Stevin 19 (2012), no. 3, 385–398.
Google Scholar

[12]

Otera D. E. and Poénaru V.,
Finitely presented groups and the Whitehead nightmare,
Groups Geom. Dyn., to appear.
Google Scholar

[13]

Otera D. E., Poénaru V. and Tanasi C.,
On geometric simple connectivity,
Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 53(101) (2010), no. 2, 157–176.
Google Scholar

[14]

Otera D. E. and Russo F.,
On the wgsc property in some classes of groups,
Mediterr. J. Math. 6 (2009), no. 4, 501–508.
Google Scholar

[15]

Otera D. E. and Russo F.,
On topological filtrations of groups,
Period. Math. Hungar. 72 (2016), no. 2, 218–223.
Google Scholar

[16]

Poénaru V.,
Killing handles of index one stably, and ${\pi}_{1}^{\mathrm{\infty}}$,
Duke Math. J. 63 (1991), no. 2, 431–447.
Google Scholar

[17]

Poénaru V.,
On the equivalence relation forced by the singularities of a non-degenerate simplicial map,
Duke Math. J. 63 (1991), no. 2, 421–429.
Google Scholar

[18]

Poénaru V.,
Almost convex groups, Lipschitz combing, and ${\pi}_{1}^{\mathrm{\infty}}$ for universal covering spaces of closed 3-manifolds,
J. Differential Geom. 35 (1992), no. 1, 103–130.
Google Scholar

[19]

Poénaru V.,
The collapsible pseudo-spine representation theorem,
Topology 31 (1992), no. 3, 625–656.
Google Scholar

[20]

Poénaru V.,
Geometry “à la Gromov” for the fundamental group of a closed 3-manifold ${M}^{3}$ and the simple connectivity at infinity of ${\stackrel{~}{M}}^{3}$,
Topology 33 (1994), no. 1, 181–196.
Google Scholar

[21]

Poénaru V.,
${\pi}_{1}^{\mathrm{\infty}}$ and simple homotopy type in dimension 3,
Low Dimensional Topology (Funchal 1998),
Contemp. Math. 233,
American Mathematical Society, Providence (1999), 1–28.
Google Scholar

[22]

Poénaru V.,
Discrete symmetry with compact fundamental domain and Geometric simple connectivity,
preprint 2007, http://arxiv.org/abs/0711.3579.

[23]

Poénaru V.,
Equivariant, locally finite inverse representations with uniformly bounded zipping length, for arbitrary finitely presented groups,
Geom. Dedicata 167 (2013), 91–121.
Google Scholar

[24]

Poénaru V.,
All finitely presented groups are qsf,
preprint 2014, http://arxiv.org/abs/1409.7325.

[25]

Poénaru V.,
Geometric simple connectivity and finitely presented groups,
preprint 2014, http://arxiv.org/abs/1404.4283.

[26]

Poénaru V. and Tanasi C.,
Hausdorff combing of groups and ${\pi}_{1}^{\mathrm{\infty}}$ for universal covering spaces of closed 3-manifolds,
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 20 (1993), no. 3, 387–414.
Google Scholar

[27]

Poénaru V. and Tanasi C.,
*k*-weakly almost convex groups and ${\pi}_{1}^{\mathrm{\infty}}{\stackrel{~}{M}}^{3}$,
Geom. Dedicata 48 (1993), 57–81.
Google Scholar

[28]

Poénaru V. and Tanasi C.,
Equivariant, almost-arborescent representations of open simply-connected 3-manifolds; a finiteness result,
Mem. Amer. Math. Soc. 800 (2004), 1–88.
Google Scholar

[29]

Poénaru V. and Tanasi C.,
A group-theoretical finiteness theorem,
Geom. Dedicata 137 (2008), no. 1, 1–25.
Google Scholar

[30]

Stallings J. R.,
Brick’s quasi-simple filtrations for groups and 3-manifolds,
Geometric Group Theory. Volume 1,
London Math. Soc. Lecture Note Ser. 181,
Cambridge University Press, Cambridge (1993), 188–203.
Google Scholar

## Comments (0)

General note:By using the comment function on degruyter.com you agree to our Privacy Statement. A respectful treatment of one another is important to us. Therefore we would like to draw your attention to our House Rules.