User Devendra Singh Rana

7 votes

2 answers

2k views

Prove that the set of invertible elements in a Banach algebra is open

asked Jan 20, 2018 at 15:26

7 votes

2 answers

1k views

Four Pillars of Functional Analysis

asked Apr 1, 2018 at 9:18

5 votes

2 answers

2k views

Dual space $X^*$ separates points of $X$

asked Dec 25, 2017 at 7:46

4 votes

3 answers

2k views

Importance of Measure Theory

asked May 26, 2018 at 13:26

4 votes

1 answer

110 views

Pulling Back product of Characteristic Classes

asked Feb 11, 2021 at 20:04

3 votes

3 answers

790 views

Find the limit of $\arctan(y/x)$

asked Aug 28, 2019 at 8:50

3 votes

1 answer

266 views

Induced map on $T(X)$ the Tangent bundle

asked Sep 8, 2019 at 12:51

3 votes

1 answer

460 views

Abelian subgroup of prime power index

asked Nov 2, 2020 at 21:05

2 votes

1 answer

181 views

Stiefel-Whitney numbers for disjoint union of a Manifold

asked Dec 22, 2020 at 19:16

2 votes

1 answer

63 views

Proving the following function is a Diffeomorphism

asked Sep 21, 2019 at 14:05

2 votes

1 answer

343 views

Denseness of $L^1\cap L^2$ in $L^p$ on R

asked Sep 9, 2019 at 17:12

2 votes

0 answers

265 views

Self Intersection mod 2 of Central curve on Möbius band

asked Oct 16, 2019 at 18:43

2 votes

1 answer

309 views

Proving Wu's Formula for Steenrod Squares (Milnor & Stasheff, Problem 8-A)

asked Feb 25, 2021 at 19:05

2 votes

1 answer

1k views

An injective continuous map between two compact Hausdorff spaces.

asked Jan 25, 2018 at 18:09

2 votes

0 answers

394 views

Weak Topology is weaker than the usual Topology

asked Jan 5, 2018 at 11:11

2 votes

1 answer

127 views

What's the error in the limit of sequence.

asked Dec 25, 2017 at 19:05

2 votes

1 answer

556 views

Continuity of quotient map

asked Sep 3, 2017 at 6:36

2 votes

1 answer

783 views

Singularities of $\,\mathrm{e}^{-1/z^2}$

asked Mar 30, 2018 at 9:39

2 votes

1 answer

196 views

Finding the Spectrum of an element of $\ell^\infty$

asked Jan 17, 2019 at 17:46

1 vote

1 answer

571 views

If $f:\mathbb{R}\to\mathbb{R}$ is continuous, and $f(\mathbb{Q})\subset\mathbb{N}$, then is $f$ unbounded, constant, or non-constant bounded?

asked Jan 22, 2019 at 18:51

1 vote

0 answers

36 views

Existence of a Second Order Linear Homogeneous ODE

asked Mar 16, 2019 at 13:24

1 vote

1 answer

545 views

Proving cylinder is a Manifold

asked Aug 15, 2019 at 13:44

1 vote

1 answer

2k views

Derivative of Projection on Manifolds

asked Aug 21, 2019 at 12:43

1 vote

1 answer

620 views

Image of Embedding on a Manifold is a Submanifold

asked Aug 24, 2019 at 5:01

1 vote

1 answer

86 views

Which of the following is true about $\mathbb{Q}×[0,1]$

asked Jan 3, 2018 at 6:10

1 vote

1 answer

59 views

Trace of Linear Transformations

asked Nov 13, 2018 at 13:31

1 vote

1 answer

3k views

Breaking Chocolate Problem

asked Aug 28, 2018 at 8:07

1 vote

1 answer

82 views

Properties of matrix of linear transformation w.r.t an orthonormal basis [closed]

asked Sep 12, 2018 at 7:42

1 vote

1 answer

649 views

Are Möbius transformations onto? [closed]

asked Jan 30, 2017 at 16:50

1 vote

1 answer

91 views

A continuous function from $\mathbb{R}$ to $\mathbb{R}^+$ which of the following is false [closed]

asked Mar 2, 2017 at 15:40

Stack Exchange Network

71 Questions

Prove that the set of invertible elements in a Banach algebra is open

Four Pillars of Functional Analysis

Dual space $X^*$ separates points of $X$

Importance of Measure Theory

Pulling Back product of Characteristic Classes

Find the limit of $\arctan(y/x)$

Induced map on $T(X)$ the Tangent bundle

Abelian subgroup of prime power index

Stiefel-Whitney numbers for disjoint union of a Manifold

Proving the following function is a Diffeomorphism

Denseness of $L^1\cap L^2$ in $L^p$ on R

Self Intersection mod 2 of Central curve on Möbius band

Proving Wu's Formula for Steenrod Squares (Milnor & Stasheff, Problem 8-A)

An injective continuous map between two compact Hausdorff spaces.

Weak Topology is weaker than the usual Topology

What's the error in the limit of sequence.

Continuity of quotient map

Singularities of $\,\mathrm{e}^{-1/z^2}$

Finding the Spectrum of an element of $\ell^\infty$

If $f:\mathbb{R}\to\mathbb{R}$ is continuous, and $f(\mathbb{Q})\subset\mathbb{N}$, then is $f$ unbounded, constant, or non-constant bounded?

Existence of a Second Order Linear Homogeneous ODE

Proving cylinder is a Manifold

Derivative of Projection on Manifolds

Image of Embedding on a Manifold is a Submanifold

Which of the following is true about $\mathbb{Q}×[0,1]$

Trace of Linear Transformations

Breaking Chocolate Problem

Properties of matrix of linear transformation w.r.t an orthonormal basis [closed]

Are Möbius transformations onto? [closed]

A continuous function from $\mathbb{R}$ to $\mathbb{R}^+$ which of the following is false [closed]