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

FINITE-SHEETED COVERING MAPS OVER KLEIN BOTTLE WEAK SOLENOIDAL SPACES

Vlasta Matijević

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.

DOI: 10.3336/gm.42.1.02

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