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Mapping Theorems for Inverse Limits with Set-Valued Bonding Functions (CROSBI ID 315823)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Banič, Iztok ; Erceg, Goran ; Kennedy, Judy Mapping Theorems for Inverse Limits with Set-Valued Bonding Functions // Bulletin of the Malaysian Mathematical Sciences Society, 45 (2022), 6; 2905-2940. doi: 10.1007/s40840-022-01307-y

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

Povezanost rada

Matematika

Poveznice
Indeksiranost