Nowhere continuous function: Difference between revisions

Revision as of 08:37, 6 May 2020

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==See also==

* [[Blumberg theorem]] states that {{snd}}even if a real function ''f'' : ℝ → ℝ is nowhere continuous, itthere existsis a dense subset ''D'' of ℝ such that the restriction of ''f'' to ''D'' is continuous.

* [[Thomae's function]] (also known as the popcorn function) — {{snd}}a function that is continuous at all irrational numbers and discontinuous at all rational numbers.

* [[Weierstrass function]]: A{{snd}}a function ''continuous'' everywhere (inside its ___domain) and ''differentiable'' nowhere.

==References==