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

Part of: Classical measure theory

Published online by Cambridge University Press:  06 March 2012

GRAŻYNA HORBACZEWSKA
GRAŻYNA HORBACZEWSKA*
Affiliation:
Department of Mathematics and Computer Science, University of Łódz, Banacha 22, 90 238 Łódz, Poland (email: grhorb@math.uni.lodz.pl)
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Abstract

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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.

Keywords

sparse setsdensity points

MSC classification

Secondary: 28A99: None of the above, but in this section
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 86 , Issue 2 , October 2012 , pp. 282 - 290
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2012

References

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