New posts in Continuity

Writing a Fake Proof for Real Analysis

Topologically, is there a definition of differentiability that is dependent on the underlying topology, similar to continuity?

How to compute $\lim_{x \to 0} \frac{1}{x^2} \int_{0}^{x} f(t)t \space dt $?

Hour, second and minute hands

A continuous, nowhere differentiable but invertible function?

If a function on a product space is continuous in each variable, is it locally bounded?

Why is continuity characterized with open sets?

Why is the Indefinite Integral of a Step Function and continuous?

Does continuity always imply integrability?

Why not include as a requirement that all functions must be continuous to be differentiable?