Linked from

The 60 pages that link to Continuous function, each with the reason it gives.

• Measurable functionCompared with: Continuity uses topology, whereas measurability uses specified sigma-algebras.

• Monotonic functionCompared with: Continuity does not ensure monotonicity; a continuous function may repeatedly rise and fall.

• Bounded functionCompared with: Continuity alone does not ensure boundedness on noncompact domains.

• Monotone functionCompared with: Continuity concerns limits, not preservation of order.

• Darboux's theoremCompared with: A derivative can satisfy Darboux's conclusion while still failing continuity.