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Volume 28 - Issue 3 - 01 June 1976

Contents

Page 2 of 2

Research Article

  • Covering Theorems for Univalent Functions Mapping onto Domains Bounded by Quasiconformal Circles

  • Donald K. Blevins
  • Published online by Cambridge University Press:
    20 November 2018, pp. 627-631
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  • Let Γ be a Jordan curve in the extended complex plane C. Γ is called a quasiconformal circle if it is the image of a circle by a homeomorphism ƒ which is quasiconformal in a neighborhood of that circle. If q(zi, z2) is the chordal distance from z1 to z2, the chordal cross ratio of a quadruple z1, z2, z3, z4 in C is

  • A Collectionwise Hausdorff, Non-Normal Moore Space

  • Michael L. Wage
  • Published online by Cambridge University Press:
    20 November 2018, pp. 632-634
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  • A topological space X is said to be collectionwise Hausdorff if every discrete collection of points of X can be simultaneously separated by a collection of pairwise disjoint open sets. The question of whether there exists a collectionwise Hausdorff, non-normal Moore space was first asked by R. L. Moore. In 1964, J. M. Worrell announced that such a space did indeed exist (see [7]), but his proof has never appeared in print.

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