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silvascientist

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31 posts edited

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17 Questions

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What does the antiderivative of a continuous-but-nowhere-differentiable function “look like”?

calculus real-analysis

Jun 11 '14 at 11:05 jwg 2,568

votes

answers

views

How to understand intuitively the Stolz-Cesaro Theorem for sequences?

real-analysis sequences-and-series intuition

Feb 14 '15 at 15:49 Markus Scheuer 84.1k

votes

answers

29k

views

How to prove the Squeeze Theorem for sequences

real-analysis limits

Aug 15 at 11:46 Dapianoman 314

votes

answers

views

“Every open cover admits an open locally finite refinement” - can this refinement always be realized in terms of basis sets?

general-topology

Jun 26 '19 at 18:29 Mirko 11.7k

votes

answers

views

Why do natural transformations express the fact that a vector space is canonically embedded in its double-dual but not in its dual?

vector-spaces category-theory intuition

Feb 22 '17 at 10:23 Community♦ 1

votes

answers

499

views

Can the directional derivative fail to be linear?

real-analysis multivariable-calculus

May 17 '16 at 5:42 Community♦ 1

votes

answer

227

views

Connecting a vector space to its dual - why?

linear-algebra vector-spaces intuition

May 16 '16 at 13:48 LMZ 557

votes

answers

views

How to show localization commutes with finite products/arbitrary coproducts?

abstract-algebra modules localization

Mar 15 '16 at 7:51 Community♦ 1

votes

answer

110

views

Boundedness in uniform spaces?

general-topology uniform-spaces

Sep 1 '15 at 17:45 Dominik 18.6k

votes

answers

541

views

Why is the domain of convergence of a power series a perfect disk?

calculus analysis power-series

Jun 13 '14 at 2:08 lhf 200k

votes

answers

157

views

On Riesz Representation and containment of the $L^p$ spaces when $E$ has finite measure

real-analysis functional-analysis lebesgue-integral lp-spaces

Mar 2 '17 at 20:45 silvascientist 3,361

votes

answer

views

Can we find a regular ($C^k$) parametrization for this surface?

multivariable-calculus differential-geometry surfaces parametrization

May 17 '16 at 1:15 levap 55.6k

votes

answer

102

views

Chasing the diagram of a natural transformation - I'm lost, please help

vector-spaces category-theory

Sep 12 '15 at 5:49 silvascientist 3,361

votes

answer

134

views

How to relate algebraic properties of the fundamental group to the topological properties of a space

algebraic-topology intuition

Feb 4 '15 at 8:10 Qiaochu Yuan 341k

vote

answer

views

Easily visualizable examples of Lie groupoids?

lie-groups smooth-manifolds groupoids

Mar 24 '17 at 9:20 Pedro 5,487

vote

answers

255

views

How to understand the geometry of bilinear forms that are not positive-definite?

reference-request vector-spaces intuition bilinear-form

Sep 4 '15 at 21:35 silvascientist 3,361

votes

answer

views

Let $E$ be a TVS over $\mathbb R$ or $\mathbb C$ such that $\overline{\lbrace 0 \rbrace} = E$. Does $E$ carry the trivial topology?

topological-vector-spaces

Dec 28 '16 at 20:46 Eric Wofsey 262k

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17 Questions

What does the antiderivative of a continuous-but-nowhere-differentiable function “look like”?

How to understand intuitively the Stolz-Cesaro Theorem for sequences?

How to prove the Squeeze Theorem for sequences

“Every open cover admits an open locally finite refinement” - can this refinement always be realized in terms of basis sets?

Why do natural transformations express the fact that a vector space is canonically embedded in its double-dual but not in its dual?

Can the directional derivative fail to be linear?

Connecting a vector space to its dual - why?

How to show localization commutes with finite products/arbitrary coproducts?

Boundedness in uniform spaces?

Why is the domain of convergence of a power series a perfect disk?

On Riesz Representation and containment of the $L^p$ spaces when $E$ has finite measure

Can we find a regular ($C^k$) parametrization for this surface?

Chasing the diagram of a natural transformation - I'm lost, please help

How to relate algebraic properties of the fundamental group to the topological properties of a space

Easily visualizable examples of Lie groupoids?

How to understand the geometry of bilinear forms that are not positive-definite?

Let $E$ be a TVS over $\mathbb R$ or $\mathbb C$ such that $\overline{\lbrace 0 \rbrace} = E$. Does $E$ carry the trivial topology?