Naslov
Classifying Finite-Sheeted Covering Mappings of Paracompact Spaces

Autori
Matijević, Vlasta

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

Izvornik
Geometric Topology II, Abstracts / 2002 - Dubrovnik, 2002, 35-35.

Skup
Geometric Topolgy II

Mjesto i datum
Dubrovnik, Hrvatska, 25.09.2002. - 05.10.2002

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Oblik; rezolventa; inverzni sustav; nadlaganje; natkrivanje; parakompaktni prostor; fundamentalna progrupa.
(Shape; resolution; inverse system; overlay; covering mapping; paracompact space; fundamental progroup.)

Sažetak
The well-known classical classification theorem of the covering space theory refers to covering mappings of connected spaces, where the base space is is loccaly pathwise connected and semi-locally 1-connected. Here, we give a classification theorem for finite-sheeted covering mappings over connected paracompact spaces. It establishes a bijection between the set of all pointed equivalence classes of s-sheeted pointed covering mappings f:(X, *)→ (Y, *) over connected paracompact space (Y, *) and the set of all subprogroups of index s of the fundamental progroup of (Y, *). In the unpointed case it establishes a bijection the set of all equivalence classes of s-sheeted covering mappings f:X→ Y and the set of all conjugacy classes of subprogroups of index s of the fundamental progroup of (Y, *), where * is arbitrary chosen point of Y.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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