Induced functions and induced morphisms between generalized inverse limits (CROSBI ID 612685)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Banič, Iztok ; Črepnjak, Matevž ; Erceg, Goran ; Merhar, Matej ; Milutinović, Uroš
engleski
Induced functions and induced morphisms between generalized inverse limits
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.
Inverse limits; upper semi-continuous functions; category CU; category ICU; induced functions
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Podaci o prilogu
9-9.
2014.
objavljeno
Podaci o matičnoj publikaciji
48th Spring Topology and Dynamics Conference, Abstracts
Podaci o skupu
48th Spring Topology and Dynamics Conference
predavanje
13.03.2014-15.03.2014
Richmond (VA), Sjedinjene Američke Države