Original scientific paper

https://doi.org/10.3336/gm.42.1.02

Finite-sheeted covering maps over Klein bottle weakly solenoidal spaces

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

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 in N, both pointed and unpointed case.

Keywords

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

Hrčak ID:

12877

URI

https://hrcak.srce.hr/12877

Publication date:

12.6.2007.

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