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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Level sets of density continuous functions


Authors: Krzysztof Ciesielski and Lee Larson
Journal: Proc. Amer. Math. Soc. 116 (1992), 963-969
MSC: Primary 26A21
DOI: https://doi.org/10.1090/S0002-9939-1992-1149970-2
MathSciNet review: 1149970
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Abstract: A function $ f:{\mathbf{R}} \to {\mathbf{R}}$ is density continuous if it is continuous when both its range and domain are endowed with the density topology. The level sets of density continuous functions are characterised as those sets which are density closed and ambiguous.


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DOI: https://doi.org/10.1090/S0002-9939-1992-1149970-2
Article copyright: © Copyright 1992 American Mathematical Society