99

Answers

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6

Why is a topology made up of ‘open’ sets?

5

Geometric imagination of differential forms

1

Pushforward and pullback.

1

How to understand the concept of compact space

5

What is a topos?

2

How do I explain the number e to a ten year old?

1

Fundamental group as topological group

2

How should one think about non-Hausdorff topologies?

5

What is meant by smooth orbifold?

1

Need help proving that $\sum\limits_{j=0}^{k-1}(-1)^{j+1}(k-j)^{2k-2} \binom{2k+1}{j} \ge 0$

3

Are nets and filters useful in geometry and topology?

8

Applications of connectedness (2)

1

A canonical and categorical construction for geometric realization

1

Categorical construction of the category of schemes?

7

Stacks vs. Groupoids

1

Is every real n-manifold isomorphic to a quotient of $\mathbb{R}^n$?

6

Representation of Groupoids

9

Stacks in the Zariski topology?

-1

Defining Quotient Bundles

18

What is an $(\infty,1)$-topos, and why is this a good setting for doing differential geometry?

1

Topos theory reference suitable for undergraduates

2

What abstract nonsense is necessary to say the word “submersion”?

1

Internal hom of sheaves

0

Why is the concept of topos a “metamorphosis” of the concept of space?

3

Groupoids vs Pseudogroups

1

Prestacks and fibered categories

5

Ordinary cohomology of stacks

1

Monad arising from operad

4

Applications of topological and diferentiable stacks

1

Adjunctions form a stack