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Equivalent metrics determine the same topology - Mathematics Stack Exchange
Equivalent metrics determine the same topology - Mathematics Stack Exchange

Let's say that [math] \tau [/math] is a topology of X. Then, are all  elements of [math] \tau [/math] open sets of X? - Quora
Let's say that [math] \tau [/math] is a topology of X. Then, are all elements of [math] \tau [/math] open sets of X? - Quora

real analysis - A closed ball in $l^{\infty}$ is not compact - Mathematics  Stack Exchange
real analysis - A closed ball in $l^{\infty}$ is not compact - Mathematics Stack Exchange

My next Math StackExchange post: "how do i prove that \{x\in R:0≤1≤1\} is  [closed]" : r/mathmemes
My next Math StackExchange post: "how do i prove that \{x\in R:0≤1≤1\} is [closed]" : r/mathmemes

general topology - Is the analogy of neighborhood as open ball applicable  to arbitrary topological spaces? - Mathematics Stack Exchange
general topology - Is the analogy of neighborhood as open ball applicable to arbitrary topological spaces? - Mathematics Stack Exchange

real analysis - Open sets Are balls? - Mathematics Stack Exchange
real analysis - Open sets Are balls? - Mathematics Stack Exchange

geometry - About $l_2$ and $l_\infty$ Norms - Mathematics Stack Exchange
geometry - About $l_2$ and $l_\infty$ Norms - Mathematics Stack Exchange

real analysis - Sketch the open ball at the origin $(0,0)$, and radius $1$.  - Mathematics Stack Exchange
real analysis - Sketch the open ball at the origin $(0,0)$, and radius $1$. - Mathematics Stack Exchange

Balls and spheres - wiki.math.ntnu.no
Balls and spheres - wiki.math.ntnu.no

general topology - "The closure of the unit ball of $C^1[0, 1]$ in $C[0,  1]$" and its compactness - Mathematics Stack Exchange
general topology - "The closure of the unit ball of $C^1[0, 1]$ in $C[0, 1]$" and its compactness - Mathematics Stack Exchange

functional analysis - Open and closed balls in $C[a,b]$ - Mathematics Stack  Exchange
functional analysis - Open and closed balls in $C[a,b]$ - Mathematics Stack Exchange

real analysis - Showing that open subsets for two metrics of same space  coincide. - Mathematics Stack Exchange
real analysis - Showing that open subsets for two metrics of same space coincide. - Mathematics Stack Exchange

functional analysis - How to develop an intuitive feel for spaces - Mathematics  Stack Exchange
functional analysis - How to develop an intuitive feel for spaces - Mathematics Stack Exchange

What's the most abstract / roundabout way of defining Euclidean space? : r/ math
What's the most abstract / roundabout way of defining Euclidean space? : r/ math

analysis - In $C([0,1],\mathbb{R})$, the sup norm and the $L^1$ norm are  not equivalent. - Mathematics Stack Exchange
analysis - In $C([0,1],\mathbb{R})$, the sup norm and the $L^1$ norm are not equivalent. - Mathematics Stack Exchange

general topology - Does it make geometric sense to say that open rectangles  and open balls generate the same open sets - Mathematics Stack Exchange
general topology - Does it make geometric sense to say that open rectangles and open balls generate the same open sets - Mathematics Stack Exchange

topology - Plotting open balls for the given metric spaces - Mathematica Stack  Exchange
topology - Plotting open balls for the given metric spaces - Mathematica Stack Exchange

metric spaces - An open ball is an open set - Mathematics Stack Exchange
metric spaces - An open ball is an open set - Mathematics Stack Exchange

proof that metrics generate the same topology, if their balls can be  contained in one another. - Mathematics Stack Exchange
proof that metrics generate the same topology, if their balls can be contained in one another. - Mathematics Stack Exchange

general topology - Does it make geometric sense to say that open rectangles  and open balls generate the same open sets - Mathematics Stack Exchange
general topology - Does it make geometric sense to say that open rectangles and open balls generate the same open sets - Mathematics Stack Exchange

reference request - Proofs without words - MathOverflow
reference request - Proofs without words - MathOverflow

topology - Plotting open balls for the given metric spaces - Mathematica Stack  Exchange
topology - Plotting open balls for the given metric spaces - Mathematica Stack Exchange

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
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