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Oct
31
comment Let $L_p$ be the complete, separable space with $p>0$.
This is very inaccurate. b) is asked on this question.
Oct
28
revised Borel $\sigma$ algebra on a topological subspace.
edited body
Oct
26
revised system of open intervals
added 3 characters in body
Oct
26
revised Linear Independent Rows vs. Columns
added 1 characters in body
Oct
25
revised A characterization of functions from $\mathbb R^n$ to $\mathbb R^m$ which are continuous
edited title
Oct
25
revised The bonus question in calc class.
TeX
Oct
15
revised Prove $\lim_{x\to p}(f+g)(x)=\lim_{x\to p}f(x)+\lim_{x\to p}g(x)$
added 1 characters in body; edited title
Oct
15
revised Determining a set is closed
spelling
Oct
15
comment How to prove that the sum of two compact sets in a Banach space need not be compact
You are asking if the sum of a compact set and a closed ball is compact in a Banach space. The closed balls need not be compact.
Oct
15
comment How to prove that the sum of two compact sets in a Banach space need not be compact
@kevin This says also how to construct a counter example: take $X$ a space where the closed unit ball is not compact and consider $K$ a compact subset of $X$
Oct
15
comment How to prove that the sum of two compact sets in a Banach space need not be compact
...and the closed unit ball is compact iff..
Oct
15
comment How to prove that $f(x)$ is discontinuous at infinitely many points on $(0,1)$?
I have edited your post, please let me know if this really agree with what you want to ask. Since you have already received at least one good answer to each you've asked please consider accept your answers.
Oct
15
revised How to prove that $f(x)$ is discontinuous at infinitely many points on $(0,1)$?
Improved formatting and some minor typos.
Oct
15
revised Derivating $f(t)=\int_0^t x dx$ using measure theory
changing `\sim` by `\setminus`.
Oct
10
comment Cantor set and countability.
The set of endpoints of these countably many intervals is strictly contained in the Cantor set. The Cantor set is perfect and therefore uncountable.
Oct
10
answered Linear Independent Rows vs. Columns
Oct
10
revised Linear Independent Rows vs. Columns
TeX
Oct
10
revised $f(x)=0$ implies $f(g(y))=0$ for some $y$?
edited title
Oct
8
comment Absolute value of Lebesgue integrable function
Look at $f^+$ and $f^-$
Oct
8
comment Riemann-Lebesgue Integrable
@Potato Why it suffices? There are non Riemann integrable functions which are equal a.e. to a Riemann integrable function