Nalazite se na CroRIS probnoj okolini. Ovdje evidentirani podaci neće biti pohranjeni u Informacijskom sustavu znanosti RH. Ako je ovo greška, CroRIS produkcijskoj okolini moguće je pristupi putem poveznice www.croris.hr
izvor podataka: crosbi

Inducing functions between inverse limits with upper semicontinuous bonding functions (CROSBI ID 198984)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Banič, Iztok ; Črepnjak, Matevž ; Erceg, Goran ; Merhar, Matej ; Milutinović, Uroš Inducing functions between inverse limits with upper semicontinuous bonding functions // Houston journal of mathematics, 41 (2015), 3; 1021-1037

Podaci o odgovornosti

Banič, Iztok ; Črepnjak, Matevž ; Erceg, Goran ; Merhar, Matej ; Milutinović, Uroš

engleski

Inducing functions between inverse limits with upper semicontinuous bonding functions

In this paper we introduce the category CU in which the compact metric spaces are objects and upper semicontinuous functions from X to 2^Y are morphisms from X to Y. We also introduce the category ICU of inverse sequences in CU. Then we investigate the induced functions between inverse limits of compact metric spaces with upper semicontinuous bonding functions. We provide criteria for their existence and prove that under suitable assumptions they have surjective graphs. We also show that taking such inverse limits is very close to being a functor (but is not a functor) from ICU to CU, if morphisms are mapped to induced functions. At the end of the paper we give a useful application of the mentioned results.

Inverse limits; Upper semi-continuous functions; Induced functions; Induced morphisms

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

Podaci o izdanju

41 (3)

2015.

1021-1037

objavljeno

0362-1588

Povezanost rada

Matematika

Indeksiranost