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 Dec 26 comment Example of two functions that are equal almost everywhere? @POTUS glad to help. Dec 26 answered Example of two functions that are equal almost everywhere? Dec 25 revised If $A$ is compact and $B$ is closed, show $d(A,B)$ is achieved Improving formatting Dec 24 comment How to show a compact sets has finite measure? In page 75 of the linked .pdf it is stablished that $\mu$ is locally finite wich is exactly the same thay say that $\mu(K)\lt\infty$ for any subset $K$ compact. In order to have compact sets with finite measure it's enough for the measure to be $\sigma-$finite. Dec 23 comment For $x∈\mathbb{R}^n$ , let $B(x,r)$ denote the closed ball in $\mathbb{R}^n$(with Euclidean norm) of radius $r$ centered at $x$ Please consider accept the answers they give you. How do I accept an answer? Dec 23 comment For $x∈\mathbb{R}^n$ , let $B(x,r)$ denote the closed ball in $\mathbb{R}^n$(with Euclidean norm) of radius $r$ centered at $x$ I've merged our answers. Feel free in reverse it. Dec 23 awarded Strunk & White Dec 23 revised For $x∈\mathbb{R}^n$ , let $B(x,r)$ denote the closed ball in $\mathbb{R}^n$(with Euclidean norm) of radius $r$ centered at $x$ adding 2 Dec 23 comment Prove convergence without Lebesgue theory relevant Dec 23 comment pointwise convergence of a bounded set of integrable functions Essentially the same Dec 23 revised A question about positive Lebesgue measure title Dec 22 revised What is the difference between $\lfloor f \rfloor (x)$ and $\lfloor f(x) \rfloor$? Editing title so it match with body Dec 22 comment What is the difference between $\lfloor f \rfloor (x)$ and $\lfloor f(x) \rfloor$? What is the difference between $f\circ g(x)$ and $f(g(x))$? Dec 19 comment Showing that $\nu \ll \mu$ implies $\forall \epsilon > 0$, $\exists \delta > 0$ s.t. $\mu(A) < \delta \implies \nu(A) < \epsilon$ What is you definition of $\nu \ll \mu$? Dec 19 comment Clarifications about the definition of algebraic systems and algebraic structures Following the definitions, an algebraic system is for example $\langle \Bbb Z, +\rangle$ and an algebraic structure is $\langle \Bbb Z,+,\leq\rangle$ Dec 18 comment A characterization of functions from $\mathbb R^n$ to $\mathbb R^m$ which are continuous I tink it should be "...and thus an interval containing $f(a)$..." Dec 18 comment What exactly is infinity? There is typo in your limit Dec 17 revised If the graph of a function $f: A \rightarrow \mathbb R$ is compact, is $f$ continuous where $A$ is a compact metric space? deleted 7 characters in body Dec 17 revised $f\geq 0$, continuous and $\int_a^b f=0$ implies $f=0$ everywhere on $[a,b]$ improving title Dec 16 answered Does $f(x)$ is continuous and $f = 0$ a.e. imply $f=0$ everywhere?