Dubrovnik VI – Geometric Topology September 30 – October 7, 2007
	ABSTRACTS	pdf-version of this abstract

Vlasta Matijević
University of Split, Croatia

On covering maps from groups

Recently, K. Eda and V. Matijević presented all equivalence classes of finite-sheeted covering maps from compact connected 2-dimensional abelian groups (toroidal groups for short) to other groups ([1]). Here we consider finite-sheeted covering maps from toroidal groups to Klein bottle weak solenoidal spaces and show that whenever a toroidal group covers Klein bottle weak solenoidal spaces, it covers groups as well. On the other hand we give an example of toroidal groups which cover groups (with any finite number of sheets), but do not cover Klein bottle weak solenoidal spaces.

REFERENCES

[1] K. Eda and V. Matijević. Finite-sheeted covering maps over 2-dimensional connected, compact Abelian groups, Topology Appl. 153 (2006), 1033–1945.
[2] V. Matijević. Finite-sheeted covering maps over Klein bottle weak solenoidal spaces, Glasnik Mat. 42 (62) (2007), 19–41.
[3] V. Matijević. A note on finite-sheeted covering maps from 2-dimensional compact connected abelian groups, preprint.
[4] C. Tezer. Shape classification of Klein-bottle-like continua, Quart. J. Math. Oxford (2) 40 (1989), 225–243.