engleski

Generalized inverse limits of inverse sequences of generalized inverse limits

The induced functions between inverse limits of compact metric spaces with upper semicontinuous bonding functions are considered. It is proved 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, it is given a useful application of the mentioned results.

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

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