Mapping Theorems for Inverse Limits with Set-Valued Bonding Functions (CROSBI ID 315823)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Banič, Iztok ; Erceg, Goran ; Kennedy, Judy
engleski
Mapping Theorems for Inverse Limits with Set-Valued Bonding Functions
We revisit the results from two papers, Mioduszewski’s “Mappings of inverse limits” and Feuerbacher’s “Mappings of inverse limits revisited” to obtain new mapping theorems for inverse limits of inverse sequences of compact metric spaces with continuous single-valued bonding functions. Then, we apply the results to the theory of inverse limits of inverse sequences of compact metric spaces with upper semicontinuous setvalued bonding functions to obtain new mapping theorems for such inverse limits. This answers an open problem stated by Ingram.
Continua ; Inverse limits ; Mapping theorems ; Inverse limits with set-valued bonding functions
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Podaci o izdanju
45 (6)
2022.
2905-2940
objavljeno
0126-6705
2180-4206
10.1007/s40840-022-01307-y