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      <subfield code="a">Koskela, Pekka</subfield>
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      <subfield code="a">Lammi, Päivi</subfield>
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      <subfield code="a">Centre de Recerca Matemàtica</subfield>
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      <subfield code="a">We study conformal deformations of a uniform space that satisfies the Ahlfors Q-regularity condition on balls of Whitney type. We verify the Gehring-Hayman Theorem by using a Whitney Covering of the space.</subfield>
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