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Paths through inverse limitsBanič, Iztok ...In [I.Banič, M. Črepnjak, M. Merhar, U. Milutinović, Limits of inverse limits, Topology Appl. 157 (2010) 439-450] the authors proved that if a sequence of graphs of surjective upper semi-continuous ... set-valued functions ▫$f_n: X \rightarrow 2^X$▫ converges to the graph of a continuous single-valued function ▫$f: X \rightarrow X$▫, then the sequence of corresponding inverse limits obtained from ▫$f_n$▫ converges to the inverse limit obtained from ▫$f$▫. In this paper a more general result is presented in which surjectivity of ▫$f_n$▫ is not required. Also, the result is generalized to the case of inverse sequences with non-constant sequences of bonding maps. Finally, these new theorems are applied to inverse limits with tent maps. Among other applications it is shown that the inverse limits appearing in the Ingram conjecture (with a point added) form an arc.Vir: Preprint series. - ISSN 1318-4865 (Vol. 47, št. 1107, 2009, str. 1-24)Vrsta gradiva - članek, sestavni delLeto - 2009Jezik - angleškiCOBISS.SI-ID - 15352409
Avtor
Banič, Iztok |
Črepnjak, Matevž |
Merhar, Matej |
Milutinović, Uroš
Teme
Matematika |
Topologija |
Infinitezimalni račun |
Funkcije (matematika) |
matematika |
topologija |
kontinuumi |
limite |
inverzne limite |
navzgor polzvezne večlične funkcije |
ne zaključna dela |
poti |
loki |
mathematics |
topology |
continua |
limits |
inverse limits |
upper semi-continuous set-valued functions |
paths |
arcs
Vnos na polico
Trajna povezava
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JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
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Ime baze podatkov | Področje | Leto |
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Povezave do osebnih bibliografij avtorjev | Povezave do podatkov o raziskovalcih v sistemu SICRIS |
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Banič, Iztok | 23201 |
Črepnjak, Matevž | 31096 |
Merhar, Matej | 32248 |
Milutinović, Uroš | 08727 |
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