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Št. zadetkov: 5
ǂThe ǂLelek fan as the inverse limit of intervals with a single set-valued bonding function whose graph is an arc
Iztok Banič, Goran Erceg, Judy A. Kennedy
Izvirni znanstveni članek
Oznake: pahljača;Lelekova pahljača;zaprta relacija;Mahavierjev produkt;inverzna limita;ne zaključna dela;fan;Lelek fan;closed relation;Mahavier product;inverse limit;
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 t ...
Leto: 2023 Vir: Fakulteta za naravoslovje in matematiko (UM FNM)
ǂAn ǂembedding of the Cantor fan into the Lelek fan
Iztok Banič, Goran Erceg, Judy A. Kennedy
Izvirni znanstveni članek
Oznake: zaprta relacija;Mahavierjev produkt;pahljača;Cantorjeva pahljača;Lelekova pahljača;closed relations;Mahavier products;fans;Cantor fans;Lelek fans;
The Lelek fan L is usually constructed as a subcontinuum of the Cantor fan in such a way that the set of the end-points of L is dense in L. It easily follows that the Lelek fan is embeddable into the Cantor fan. It is also a well-known fact that the Cantor fan is embeddable into the Lelek fan, but t ...
Leto: 2025 Vir: Fakulteta za naravoslovje in matematiko (UM FNM)
Generalized inverse limits of inverse sequences of generalized inverse limits
Goran Erceg, Iztok Banič, Matevž Črepnjak, Matej Merhar, Uroš Milutinović
Objavljeni povzetek znanstvenega prispevka na konferenci
Oznake: matematika;topologija;kontinuumi;inverzne limite;navzgor polzvezne večlične funkcije;ne zaključna dela;mathematics;topology;continua;inverse limits;upper semi-continuous set-valued functions;
Generalized inverse limits of inverse sequences of generalized inverse limits
Leto: 2011 Vir: Fakulteta za naravoslovje in matematiko (UM FNM)
Inducing functions between inverse limits with upper semicontinuous bonding functions
Iztok Banič, Matevž Črepnjak, Goran Erceg, Matej Merhar, Uroš Milutinović
Izvirni znanstveni članek
Oznake: topologija;inverzne limite;navzgor polzvezne funkcije;inducirane funkcije;inducirani morfizmi;ne zaključna dela;topology;inverse limits;upper semi-continuous functions;induced functions;induced morphisms;
V članku predstavljamo kategorijo ▫$\mathcal{CU}$▫, kjer so objekti kompaktni metrični prostori ▫$X$▫ morfizmi med njimi pa navzgor polzvezne preslikave iz ▫$X$▫ v ▫$2^Y$▫. Vpeljemo tudi kategorijo ▫$\mathcal{ICU}$▫ inverznih zaporedij v ▫$\mathcal{CU}$▫. Proučujemo inducirane funkcije med inverznim ...
Leto: 2013 Vir: Fakulteta za naravoslovje in matematiko (UM FNM)
Chaos and mixing homeomorphisms on fans
Iztok Banič, Goran Erceg, Judy A. Kennedy, Christopher Mouron, Van Nall
Izvirni znanstveni članek
Oznake: closed relations;Mahavier products;transitive dynamical systems;transitive homeomorphisms;mixing homeomorphisms;smooth fan;
We construct a mixing homeomorphism on both the Lelek fan and the Cantor fan. We also construct a family of uncountably many pairwise non-homeomorphic smooth (and non-smooth) fans that admit mixing homeomorphisms.
Leto: 2025 Vir: Fakulteta za naravoslovje in matematiko (UM FNM)
Št. zadetkov: 5
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