User Dmitri Pavlov

17 votes

How are infinite-dimensional manifolds most commonly treated?

answered Feb 9, 2013 at 14:36

17 votes

Why do we need model categories?

answered Nov 29, 2017 at 2:19

17 votes

Accepted

Classifying space BG and contractable space EG

answered Feb 3, 2020 at 3:22

17 votes

Categories disguised as other structures

answered Sep 18, 2021 at 14:34

17 votes

Accepted

What's the point of a point-free locale?

answered Jan 21, 2022 at 0:13

16 votes

Accepted

Is there a relation between Gelfand duality and the spectrum of a ring (with its Zariski topology)?

answered Jan 13, 2022 at 23:51

16 votes

What are the occurrences of stacks outside algebraic geometry, differential geometry, and general topology?

answered May 30, 2020 at 21:58

16 votes

Accepted

Manifolds with negative dimension – Definition, References

answered Sep 20, 2018 at 3:53

15 votes

what is a spinor structure?

answered Feb 24, 2013 at 13:59

15 votes

In what category is the sum of real numbers a coproduct?

answered Apr 5, 2010 at 7:37

15 votes

How much of differential geometry can be developed entirely without atlases?

answered Feb 10, 2010 at 10:22

14 votes

How to write the Thom spectrum representing cobordism as an $\Omega$-spectrum?

answered Apr 9, 2015 at 10:43

14 votes

Do we still need models of spectra other than the $\infty$-category $\mathrm{Sp}$?

answered Feb 9, 2019 at 19:28

14 votes

Examples of topoi that are not ordinary spaces

answered Aug 23, 2019 at 20:15

14 votes

Accepted

De Rham via topoi

answered Feb 7, 2022 at 16:51

14 votes

Accepted

Why are the source-target rules of composition always strictly defined?

answered Oct 14, 2023 at 17:28

13 votes

Accepted

Representation theory of higher homotopy groups

answered Jun 6, 2021 at 16:23

13 votes

Accepted

Making sense of "every non-commutative algebra has its own internal time evolution (aka a one-parameter group)"?

answered Mar 14, 2021 at 22:38

13 votes

Boardman's thesis or mimeographed notes

answered Apr 25, 2021 at 19:10

13 votes

Accepted

Is a manifold paracompact? Should it be?

answered Nov 25, 2019 at 16:12

13 votes

Accepted

About the category of von neumann algebras

answered Jan 23, 2012 at 12:00

12 votes

How much of differential geometry can be developed entirely without atlases?

answered Feb 10, 2010 at 10:03

12 votes

Accepted

Ideals in Factors

answered Oct 19, 2009 at 18:42

12 votes

Accepted

Which sigma-ideals in a sigma-algebra are ideals of null sets?

answered Jan 11, 2014 at 11:38

12 votes

What is decategorification?

answered Oct 13, 2023 at 22:49

12 votes

Accepted

Are there textbooks on differential geometry in the language of smooth sets or smooth derived stacks?

answered Sep 30, 2022 at 15:52

12 votes

Accepted

The derived category does not satisfy descent - example

answered Mar 6, 2023 at 19:28

11 votes

Big list: barycentric subdivision of simplicial sets

answered May 18, 2023 at 21:02

11 votes

Can one glue De Rham cohomology classes on a differential manifolds?

answered May 12, 2022 at 18:02

11 votes

Are higher categories useful?

answered Dec 11, 2011 at 15:42

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390 Answers

How are infinite-dimensional manifolds most commonly treated?

Why do we need model categories?

Classifying space BG and contractable space EG

Categories disguised as other structures

What's the point of a point-free locale?

Is there a relation between Gelfand duality and the spectrum of a ring (with its Zariski topology)?

What are the occurrences of stacks outside algebraic geometry, differential geometry, and general topology?

Manifolds with negative dimension – Definition, References

what is a spinor structure?

In what category is the sum of real numbers a coproduct?

How much of differential geometry can be developed entirely without atlases?

How to write the Thom spectrum representing cobordism as an $\Omega$-spectrum?

Do we still need models of spectra other than the $\infty$-category $\mathrm{Sp}$?

Examples of topoi that are not ordinary spaces

De Rham via topoi

Why are the source-target rules of composition always strictly defined?

Representation theory of higher homotopy groups

Making sense of "every non-commutative algebra has its own internal time evolution (aka a one-parameter group)"?

Boardman's thesis or mimeographed notes

Is a manifold paracompact? Should it be?

About the category of von neumann algebras

How much of differential geometry can be developed entirely without atlases?

Ideals in Factors

Which sigma-ideals in a sigma-algebra are ideals of null sets?

What is decategorification?

Are there textbooks on differential geometry in the language of smooth sets or smooth derived stacks?

The derived category does not satisfy descent - example

Big list: barycentric subdivision of simplicial sets

Can one glue De Rham cohomology classes on a differential manifolds?

Are higher categories useful?