On equicontinuity of homeomorphisms in a closure of a domain in metric spaces
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🧮 math.MG
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metricspacesclosuredomainhomeomorphismsmappingsaboveboundaries
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In the present paper, homeomorphisms in metric spaces which generalize quasiconformal mappings, are investigated. It is proved that, at some conditions on metric spaces and boundaries of corresponding domains, families of above mappings are equicontinuous in a closure of a given domain.
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