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general topology - open ball on metric $d''(z,z') = \max \{d_i(x_i,x_i'), i\in \{1,\cdots,n\}\}$ in $\mathbb{R}^2$ - Mathematics Stack Exchange
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analysis - In $C([0,1],\mathbb{R})$, the sup norm and the $L^1$ norm are not equivalent. - Mathematics Stack Exchange
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general topology - Does it make geometric sense to say that open rectangles and open balls generate the same open sets - Mathematics Stack Exchange
How does the definition of continuous functions, 'there is always an epsilon neighbourhood of f(a) for every delta neighbourhood of a' (loosely speaking) tell that the functions have gapless graphs? - Quora
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proof that metrics generate the same topology, if their balls can be contained in one another. - Mathematics Stack Exchange
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real analysis - Sketch the open ball at the origin $(0,0)$, and radius $1$. - Mathematics Stack Exchange
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