User Alexander Osorio - Mathematics Stack Exchange

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Let $A$, $B$ be subsets of $S^n$, n≥2. Show that if $A$ and $B$ are closed, disjoint, and neither separates $S^n$, then…

algebraic-topology differential-topology

may 7 at 7:06 Martin Sleziak 20.3k

6

votes

2

answers

107

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$\lim_{p\to \infty}\parallel f\parallel_{p}=\parallel f\parallel_{\infty}$? [duplicate]

real-analysis measure-theory

feb 5 at 5:38 JavaMan 8,270

4

votes

1

answer

36

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For what real numbers $a$ does the series $\sum \frac{\sin(ka)}{\log(k)}$ converge or diverge?

calculus real-analysis sequences-and-series

apr 5 at 15:14 user17762 76.1k

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4

votes

3

answers

65

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polynomial function locally to globally polynomial.

calculus real-analysis

mar 11 at 21:29 Thomas Andrews 29.7k

1

3

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1

answer

81

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isomorphisms induced on $H_*$

algebraic-topology

apr 18 at 12:10 Stefan H. 1,804

2

votes

1

answer

47

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convergence of complex series.

calculus sequences-and-series convergence

apr 6 at 15:30 Davide Giraudo 56.2k

2

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0

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44

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Let $X$ be any random variable. Prove that $\mathbf{E}[X^2] < \infty$ iff $\dots$ [duplicate]

probability probability-theory

feb 13 at 7:40 gnometorule 2,604

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2

votes

1

answer

45

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integration or convergence uniformly??

real-analysis measure-theory

feb 11 at 20:48 Davide Giraudo 56.2k

2

votes

1

answer

93

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Real Analysis: continuous function on R which is constant when f(x)=f(x+1)=f(x+π)

real-analysis

jan 29 at 2:54 Ram 736

1

vote

1

answer

43

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Let $W$ be a Wiener process and $X(t):=W^{2}(t)$ for $t\geq 0.$ Calculate $\operatorname{Cov}(X(s), X(t))$.

probability brownian-motion

may 12 at 13:56 saz 5,422

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1

answer

57

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Holomorphic function which is injective

real-analysis complex-analysis

may 2 at 2:20 Giraffe 1,235

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2

answers

80

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see when two measures are equal on σ-algebra generated by all intervals in [a,b].

analysis measure-theory

apr 29 at 16:31 Did 102k

1

vote

1

answer

49

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Show that if $Y$ is contractible, then the canonical projection $\pi: X\times Y\to X$ is a homotopy equivalence

algebraic-topology

mar 21 at 20:08 DoctorBatmanGod 2,440

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1

answer

91

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prove or give a counterexample: for all Lebesgue measurable set E⊂Rn and and continuous function…

real-analysis measure-theory

feb 8 at 2:31 muzzlator 4,886

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73

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Exchanging integrals with series when the monotone convergence theorem does not apply

real-analysis measure-theory

feb 4 at 20:34 DoctorBatmanGod 2,440

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34

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Distance between a closed and a compact sets. [duplicate]

real-analysis metric-spaces

apr 18 at 11:00 Davide Giraudo 56.2k

0

votes

0

answers

22

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Let $X_\alpha$ be the connected components by arcs of $X$ (homology)

algebraic-topology differential-topology

apr 12 at 1:31 julien 22.7k

0

votes

1

answer

19

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construct a function f defined in the compact interval [0,1] of the real line that for some x irrational the limit

real-analysis measure-theory

feb 3 at 8:47 Robert Israel 86.3k

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0

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29

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Radon-Nikodym's theorem both measures should be σ-finites?

measure-theory

feb 3 at 6:47 Alexander Osorio 213

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votes

1

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84

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prove that $\mu$ is a measure $\sigma$-finite.

real-analysis measure-theory

feb 2 at 1:01 Ayman Hourieh 11.1k

0

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1

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70

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decreasing sequence of integrable functions

real-analysis measure-theory

jan 29 at 7:45 Jonas Meyer 35k

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1

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74

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Essential supremum of a function ψ is bounded when???

real-analysis measure-theory

feb 4 at 9:19 Davide Giraudo 56.2k

Alexander Osorio

22 Questions