Naslov
Finite-sheeted covering maps over Klein bottle weak solenoidal spaces

Autori
Matijević, Vlasta

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Mathematik 2005 / - Klagenfurt, 2005, 84-84

Skup
Mathematik 2005

Mjesto i datum
Klagenfurt, Austrija, 18.09.2005. - 23.09.2005

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Klein bottle; weak solenoidal space; finite-sheeted covering map

Sažetak
Let $\mathbf{; ; p}; ; =(p_{; ; i}; ; ), $ $\mathbf{; ; q}; ; =(q_{; ; i}; ; )$ and $\mathbf{; ; r}; ; =(r_{; ; i}; ; )$ be sequences of integers such that $p_{; ; i}; ; \neq 0$ and $r_{; ; i}; ; $ odd for each $i.$ Klein bottle weak solenoidal space $\Sigma (\mathbf{; ; p, q, r}; ; )$ is the inverse limit of an inverse sequence, where each term is Klein bottle $K$ and each bonding map $f_{; ; ii+1}; ; =f_{; ; (p_{; ; i}; ; , q_{; ; i}; ; , r_{; ; i}; ; )}; ; :K\rightarrow K$ is a finite-sheeted covering map. Spaces $\Sigma (\mathbf{; ; p, q, r}; ; )$ were introduced and classified up to homeomorphism by C. Tezer. Using shape-theoretic techniques we classified finite-sheeted covering maps over $% \Sigma (\mathbf{; ; p, q, r}; ; )$ (both pointed and unpointed case) and answered a related question under which conditions 2-dimensional compact connected Abelian group covers Klein bottle weak solenoidal space.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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