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Article
Equicontinuity of Families of Map**s with One Normalization Condition
We study the behavior of a certain class of map**s of a domain in Euclidean space. We prove that this class is equicontinuous both at the interior and boundary points, of the domain provided that it consi...
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Article
On the Equicontinuity of Families of Map**s in the Case of Variable Domains
We study the problem of local behavior of maps in the closure of a domain in the Euclidean space. The equicontinuity of families of these map**s is established in the case where the mapped domain is not fixe...
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Article
On the Convergence of Map**s in Metric Spaces with Direct and Inverse Modulus Conditions
For map**s in metric spaces satisfying one inequality for the modulus of families of curves, we establish the property of lightness of the limit map**. It is shown that the uniform limit of these map**s ...