List questions from manifolds

Published on 26 Mar 2026 - 6:21

605

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What is a generic (genetic/geometric) map? (In the study of manifolds)

Published on 25 Mar 2026 - 22:04

1.3k

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does a manifold have to be embedded in a higher-dimensional space to be called a manifold?

Published on 10 Aug 2016 - 8:48

27

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A function $f$ which is 1 on $V$ and 0 on $U^c$

Published on 11 Aug 2016 - 7:46

64

Views

What do we intuitively mean by embedding a manifold in an $n$-dimensional space?

Published on 11 Aug 2016 - 11:04

2.7k

Views

Is a cylinder a differentiable manifold?

Published on 06 Apr 2026 - 17:30

171

Views

Whether genus can be nonnegative?

Published on 31 Mar 2026 - 11:31

30

Views

Verification: (Stationary points of) real-valued submersion on differentiable manifolds

Published on 25 Mar 2026 - 11:03

111

Views

Difference between $C^k$s and $C^\infty$

Published on 26 Mar 2026 - 18:58

297

Views

Smoothness of the boundary is the only obstruction for being a submanifold with boundary?

Published on 26 Mar 2026 - 9:58

148

Views

When are spaces with homeomorphic suspensions homeomorphic?

Published on 13 Aug 2016 - 12:59

1.2k

Views

Intuition for pullback operation

Published on 01 Apr 2026 - 14:19

377

Views

When do canonical coordinates on cotangent bundle induce complex coordinates

Published on 30 Mar 2026 - 3:24

1k

Views

"Why" is $\mathbb{CP}^2\mathbin{\#}\mathbb{CP}^2$ not homeomorphic to $\mathbb{CP}^2\mathbin{\#}\overline{\mathbb{CP}^2}$?

Published on 06 Apr 2026 - 17:31

706

Views

Can the long line be embedded in euclidean space?

Published on 04 Apr 2026 - 1:57

List Question

How to compute the Euler characteristic of $S^2\times S^2$?

What is a generic (genetic/geometric) map? (In the study of manifolds)

does a manifold have to be embedded in a higher-dimensional space to be called a manifold?

A function $f$ which is 1 on $V$ and 0 on $U^c$

What do we intuitively mean by embedding a manifold in an $n$-dimensional space?

Is a cylinder a differentiable manifold?

Whether genus can be nonnegative?

Verification: (Stationary points of) real-valued submersion on differentiable manifolds

Difference between $C^k$s and $C^\infty$

Smoothness of the boundary is the only obstruction for being a submanifold with boundary?

When are spaces with homeomorphic suspensions homeomorphic?

Intuition for pullback operation

When do canonical coordinates on cotangent bundle induce complex coordinates

"Why" is $\mathbb{CP}^2\mathbin{\#}\mathbb{CP}^2$ not homeomorphic to $\mathbb{CP}^2\mathbin{\#}\overline{\mathbb{CP}^2}$?

Can the long line be embedded in euclidean space?

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