3 papers
math.GT2020
Generating the mapping class group of a nonorientable surface by three torsions
Marta Leśniak, Błażej Szepietowski
We prove that the mapping class group of a closed nonorientable surface of genus different than 4 is generated by three torsion elements. Moreover, for every…
math.GT2019
A note on the curve complex of the 3-holed projective plane
Błażej Szepietowski
Let be a projective plane with holes. We prove that there is an exhaustion of the curve complex by a sequence of finite rigid sets. As a corollary, we obta…
math.GT2017
On topological classification of finite cyclic actions on bordered surfaces
Grzegorz Gromadzki, Susumu Hirose, Błażej Szepietowski
In [Tohoku Math. J. 62 (2010), 45--53] the second author showed that, except for a few cases, the order of a cyclic group of self-homeomorphisms of a closed orientable topologi…