Naslov
Finite-sheeted covering maps from and over 2-dimensional compact connested abelian groups

Autori
Eda, Katsuya ; Matijević, Vlasta

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

Izvornik
International Conference and Workshops on Geometric Topology honoring Karol Borsuk's life and work on the 100th anniversary of his birth, Abstracts / - Bedlewo, 2005, 22-22

Skup
International Conference and Workshops on Geometric Topology honoring Karol Borsuk's life and work on the 100th anniversary of his birth

Mjesto i datum
Będlewo, Poljska, 03.07.2005. - 10.07.2005

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Compact abelian group; 2-dimensional; finite-sheeted covering map

Sažetak
Let G be a compact connected 2-dimensional Abelian group, i.e. the inverse limit of an inverse sequence, where each term is 2-torus and each bonding map is a finite-sheeted covering homomorphism over 2-torus. Using the classification theorem for finite-sheeted covering maps over connected paracompact spaces, we classify finite-sheeted covering maps (with connected total spaces) over G and investigate total spaces up to homeomorphism. In particular, we show that the class of self-covering spaces is not closed under the operation of forming inverse limits with open surjective bonding maps, since there is a 2-dimensional compact connected Abelian group, which is not a self-covering space. We also study finite-sheeted covering maps from G to other compact connected spaces Y. For that purpose we classify finite-sheeted covering maps over Klein bottle-like continua Σ (p, q, r) introduced by C. Tezer.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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