Naslov
Induced functions and induced morphisms between generalized inverse limits

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

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
48th Spring Topology and Dynamics Conference, Abstracts / - , 2014, 9-9

Skup
48th Spring Topology and Dynamics Conference

Mjesto i datum
Richmond (VA), Sjedinjene Američke Države, 13.03.2014. - 15.03.2014

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Inverse limits; upper semi-continuous functions; category CU; category ICU; induced functions

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. Finally, we give a useful application of the mentioned results.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA