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2 results

  • SPARSE SETS ON THE PLANE AND DENSITY POINTS DEFINED BY FAMILIES OF SEQUENCES

  • Part of
  • GRAŻYNA HORBACZEWSKA
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 86 / Issue 2 / October 2012
    Published online by Cambridge University Press:
    06 March 2012, pp. 282-290
    Print publication:
    October 2012
    • Article
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  • A condition equivalent to sparseness of a set on the plane is formulated and used as a motivation for a new concept of density point on the plane. This is investigated and compared with known previous versions.

  • ON THE DENSITY TYPE TOPOLOGIES IN HIGHER DIMENSIONS

  • Part of
  • GRAŻYNA HORBACZEWSKA
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 83 / Issue 1 / February 2011
    Published online by Cambridge University Press:
    14 September 2010, pp. 158-170
    Print publication:
    February 2011
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  • The topologies of the density type in Euclidean space of dimension higher than one are introduced. Definitions are based on a notion of density point connected with a set of sequences of real numbers. Our purpose is to study properties of these topologies and connections between them.