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  • Member for 9 years, 6 months
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  • Andromeda
39 votes
Accepted

Why/How does the determinant of the Hessian matrix, combined with the 2nd derivatives, tell us max., min., saddle points? Reasoning behind it?

22 votes

Are there any objects which aren't sets?

20 votes
Accepted

Calculus and Category theory

15 votes
Accepted

Basic Geometric intuition, context is undergraduate mathematics

14 votes
Accepted

What is the gentlest notes/book of intro differential topology?

13 votes

Is the intersection connected if union is simply connected?

11 votes

Categorical introduction to Algebra and Topology

11 votes
Accepted

Quotient manifold theorem provides a fibration?

11 votes

What makes differential forms special

10 votes
Accepted

Angle between two 4D vectors

10 votes

Geometric interpretation of connection forms, torsion forms, curvature forms, etc

10 votes

Algebraic objects associated with topological spaces.

9 votes

In what sense is a function on a circle the same as a $2 \pi$ periodic function on $\mathbb{R}$?

8 votes

Lie algebra of normal subgroup is an ideal

8 votes
Accepted

Are there nonsmooth Lie groups?

8 votes
Accepted

Is $\mathbb{Q}$ isomorphic to $\mathbb{Z^2}$?

7 votes

Submanifolds of $\mathbb{R}^{n}$

7 votes

how much differential structure can we put on countable manifolds?

7 votes

Exterior Derivative vs. Covariant Derivative vs. Lie Derivative

7 votes

What are some beautiful examples of adjunctions?

7 votes
Accepted

Meaning of "holes" counted by homology groups

6 votes

Currying a continuous function

6 votes
Accepted

Does the associated bundle functor have left or right adjoints?

5 votes
Accepted

A $C^k$ manifolds ($k>1$) has a $C^\infty$ atlas: reference request

5 votes
Accepted

Definition of Lie group

5 votes
Accepted

Isn't definition of types in type theory as spaces, viewed from the perspective of homotopy theory a circular definition?

5 votes

Extension, restriction, and coextension of scalars adjunctions in the case of noncommutative rings?

5 votes

How to construct polynomial ring $K[x]$ over commutative ring $K$ by making use of universal arrows.

5 votes

Reference request: differential geometry (with analytic flavor)

5 votes

When does a SES of vector bundles split?

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