Naslov
Inducing functions between inverse limits with upper semicontinuous bonding functions

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

Izvornik
Houston journal of mathematics (0362-1588) 41 (2015), 3; 1021-1037

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

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

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA