Pregled bibliografske jedinice broj: 1261540
The Lelek Fan as the Inverse Limit of Intervals with a Single Set-Valued Bonding Function Whose Graph is an Arc
The Lelek Fan as the Inverse Limit of Intervals with a Single Set-Valued Bonding Function Whose Graph is an Arc // Mediterranean Journal of Mathematics, 20 (2023), 3; 159, 24 doi:10.1007/s00009-023-02323-3 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1261540 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
The Lelek Fan as the Inverse Limit of Intervals
with a Single Set-Valued Bonding Function Whose
Graph is an Arc
Autori
Banič, Iztok ; Erceg, Goran ; Kennedy, Judy
Izvornik
Mediterranean Journal of Mathematics (1660-5446) 20
(2023), 3;
159, 24
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Fan ; cantor fan ; Lelek fan ; closed relation ; Mahavier product ; inverse limit ; set-valued function
Sažetak
We consider a family of inverse limits of inverse sequences of closed unit intervals with a single upper semi-continuous set-valued bonding function whose graph is an arc ; the graph is the union of two line segments in [0, 1]^2, both of which contain the origin (0, 0) and have positive slope. One of the segments extends to the top-boundary and the other to the right side boundary of [0, 1]×[0, 1]. We show that there is a large subfamily F of these bonding functions such that for each f ∈ F, the inverse limit of the inverse sequence of closed unit intervals using f as a single bonding function is homeomorphic to the Lelek fan.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
