Pregled bibliografske jedinice broj: 1197017
Approximate inverse systems of compacta and covering dimension
Approximate inverse systems of compacta and covering dimension // Pacific journal of mathematics, 138 (1989), 1; 129-144 doi:10.2140/pjm.1989.138.129 (meÄunarodna recenzija, Älanak, znanstveni)
CROSBI ID: 1197017 Za ispravke kontaktirajte CROSBI podrŔku putem web obrasca
Naslov
Approximate inverse systems of compacta and covering dimension
Autori
MardeÅ”iÄ, Sibe ; Ruben, Leonard R.
Izvornik
Pacific journal of mathematics (0030-8730) 138
(1989), 1;
129-144
Vrsta, podvrsta i kategorija rada
Radovi u Äasopisima, Älanak, znanstveni
KljuÄne rijeÄi
compact Hausdorff space ; covering dimension ; approximate inverse system of compact polyhedra ; inverse limit
Sažetak
Approximate inverse systems of metric compacta are introduced and studied. The bonding maps in these systems commute only up to certain controlled values. With every such system X = (Xa, ša, paaā², A) are associated a limit space X and projections pa : X ā Xa. A compact Hausdorff space X has covering dimension dimX ā¤ n if and only if it can be obtained as the limit of an approximate inverse system of compact polyhedra of dimension ā¤ n. The analogous statement for usual inverse systems is known to be false.
Izvorni jezik
Engleski
Znanstvena podruÄja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematiÄki fakultet, MatematiÄki odjel, Zagreb,
Prirodoslovno-matematiÄki fakultet, Zagreb
Profili:
Sibe MardeÅ”iÄ
(autor)
Citiraj ovu publikaciju:
Äasopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
UkljuÄenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt fĆ¼r Mathematik/Mathematical Abstracts
