Thomae's function: Difference between revisions

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Related functions: deadlink can be fixed (see https://www.maa.org/programs/faculty-and-departments/classroom-capsules-and-notes/a-characterization-of-the-set-of-points-of-continuity-of-a-real-function) but seems too far off-topic to keep
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Then a similar argument as for Thomae's function shows that <math> f_A</math> has ''A'' as its set of discontinuities.
 
For a general construction on arbitrary metric space, see this article [http://math.uga.edu/~pete/Kim99.pdf Kim, Sung Soo. "A Characterization of the Set of Points of Continuity of a Real Function." American Mathematical Monthly 106.3 (1999): 258-259.]
 
==See also==