Minimal sets on continua with a dense free interval

نویسندگان

چکیده

We study minimal sets on continua X with a dense free interval J and locally connected remainder. This class of includes important spaces such as the topologist's sine curve or Warsaw circle. In case when remainder are known is connected, we obtain full characterization topological structure sets. particular, given in X∖J local dendrite.

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ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2023

ISSN: ['0022-247X', '1096-0813']

DOI: https://doi.org/10.1016/j.jmaa.2022.126607