#### Glasnik Matematicki, Vol. 42, No.1 (2007), 19-41.

### FINITE-SHEETED COVERING MAPS OVER KLEIN BOTTLE WEAK SOLENOIDAL SPACES

### Vlasta Matijević

Department of Mathematics, University of Split, N. Tesle 12, 21000 Split,
Croatia

*e-mail:* `vlasta@pmfst.hr`

**Abstract.** Klein bottle weak solenoidal space
Σ(**p**,**q**,**r**) is a continuum obtained as the inverse limit of
an inverse sequence, where each term is Klein bottle and each
bonding map is finite-sheeted covering map over Klein bottle. In
the present paper we determine and present all *s*-sheeted
covering maps (with connected total space) over
Σ(**p**,**q**,**r**),
*s* **N**,
both pointed and unpointed case.

**2000 Mathematics Subject Classification.**
14H30, 22C05, 57M10.

**Key words and phrases.** Inverse system, covering map, Klein bottle, weak solenoidal
space, Klein bottle weak solenoidal space, 2-dimensional torus,
2-dimensional compact Abelian group, fundamental progroup,
subprogroup of index *s*, conjugacy classes of subprogroups of
index *s*.

**Full text (PDF)** (free access)
DOI: 10.3336/gm.42.1.02

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