Pregled bibliografske jedinice broj: 581550
A note on the local connectedness of inverse limit spaces
A note on the local connectedness of inverse limit spaces // Glasnik matematički, 21(41) (1986), 423-429 (podatak o recenziji nije dostupan, članak, znanstveni)
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Naslov
A note on the local connectedness of inverse limit spaces
Autori
Lončar, Ivan
Izvornik
Glasnik matematički (0017-095X) 21(41)
(1986);
423-429
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Locally connected inverse system; local connectednes
Sažetak
The notion of a locally connected inverse system was introduced in the paper [4] for characterizing inverse systems of continua whose limit is locally connected. In the present paper we prove that: (1) If X is a locally connected inverse system of locally compact spaces and compact bonding mappings, then X =limX is locally connected (1.2. Theorem), (2) If X is a locally connected inverse sequence of locally countably compact spaces and pseudo-perfect bonding mappings, then X =limX is locally connected (2.1. Tbeocam) and (3) If X is a sigma-directed inverse system of regular spaces and bonding mapping with finite fibers such that X=limX is connected, then X is locally and semi-locafty connected (2.4. Theorem).
Izvorni jezik
Engleski
Znanstvena područja
Matematika
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Uključenost u ostale bibliografske baze podataka::
- Zentrallblatt für Mathematik/Mathematical Abstracts