Level sets of density continuous functions
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- by Krzysztof Ciesielski and Lee Larson PDF
- Proc. Amer. Math. Soc. 116 (1992), 963-969 Request permission
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.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- 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