User Dmitri Pavlov

37 votes

5 answers

4k views

Reference for the Gelfand duality theorem for commutative von Neumann algebras

asked May 4, 2010 at 7:45

34 votes

2 answers

3k views

Can we recover a von Neumann algebra from its predual?

asked Dec 24, 2010 at 19:54

28 votes

0 answers

527 views

What algebraic structure characterizes all natural operations between differential operators and differential forms?

asked Aug 26, 2019 at 16:17

26 votes

8 answers

3k views

Bimodules in geometry

asked Oct 22, 2009 at 19:54

25 votes

1 answer

4k views

Can the constant rank theorem for smooth manifolds be generalized to nonconstant rank?

asked Mar 10, 2017 at 19:25

21 votes

3 answers

3k views

Noncommutative smooth manifolds

asked Mar 2, 2010 at 6:10

21 votes

1 answer

1k views

Which complete Boolean algebras arise as the algebras of projections of commutative von Neumann algebras?

asked Jul 25, 2011 at 20:37

20 votes

0 answers

827 views

Can we define spectral triples using the language of rigged Hilbert spaces?

asked Nov 21, 2010 at 22:08

19 votes

2 answers

1k views

Is there an ∞-categorical interpretation of the Quillen S⁻¹S construction?

asked Nov 29, 2015 at 12:30

17 votes

0 answers

677 views

Are dualizable topological vector spaces finite-dimensional?

asked May 20 at 13:35

17 votes

1 answer

956 views

What are the smooth manifolds in the topos of sheaves on a smooth manifold?

asked Oct 30, 2011 at 11:10

16 votes

1 answer

546 views

From relative categories to marked simplicial sets

asked Apr 8, 2016 at 15:29

15 votes

2 answers

1k views

Is there a citeable reference for star-shaped open subsets of R^n being diffeomorphic to R^n?

asked Mar 2, 2015 at 21:05

15 votes

0 answers

712 views

Is there an expository account of homology of simplicial sets that does not assume prior familiarity with any variant of homology?

asked Nov 10, 2018 at 0:38

15 votes

1 answer

1k views

Are bundle gerbes bundles of algebras?

asked Aug 11, 2011 at 15:11

15 votes

0 answers

1k views

Is the category of smooth manifolds equivalent to the opposite category of the category of commutative monoids of some additive symmetric monoidal category?

asked Sep 30, 2011 at 16:43

14 votes

1 answer

2k views

Are Thom spectra MU, MSO and K-theory spectra KU, KO modules over some truncations of the sphere spectrum?

asked Mar 12, 2013 at 22:13

14 votes

2 answers

984 views

Recovering a monoidal category from its category of monoids

asked Oct 29, 2009 at 19:34

14 votes

0 answers

574 views

Reference for a proof of the fiberwise Stokes theorem

asked Apr 9, 2015 at 10:17

13 votes

2 answers

928 views

When did the Joyal model structure on simplicial sets originate?

asked Jun 20, 2022 at 5:01

12 votes

2 answers

409 views

Reference for free symmetric monoidal categories with duals on symmetric monoidal categories

asked Nov 6, 2021 at 22:55

11 votes

1 answer

452 views

Does every smooth map of rank at most d factor through a d-manifold?

asked Apr 18, 2022 at 19:03

11 votes

1 answer

1k views

Necessary conditions for cofibrancy in global projective model structure on simplicial presheaves

asked May 22, 2012 at 17:56

11 votes

1 answer

502 views

Is there a practical criterion to determine whether the limit of a diagram of real chain complexes is also a homotopy limit?

asked Nov 20, 2013 at 18:04

10 votes

1 answer

440 views

Reference for a generalization of Γ-spaces to monoidal model categories

asked Jan 16, 2014 at 16:01

10 votes

1 answer

1k views

Can we characterize the spatial tensor product of von Neumann algebras categorically?

asked Jan 8, 2011 at 19:26

10 votes

1 answer

3k views

De Rham homology

asked Feb 28, 2010 at 5:01

10 votes

0 answers

742 views

Can any smooth triangulation of a smooth manifold be blurred?

asked Mar 29, 2016 at 16:38

9 votes

3 answers

2k views

Reference for homotopy (co)limits of (co)chain complexes via totalization of double complexes

asked Jan 15, 2015 at 16:33

9 votes

0 answers

323 views

Is there a citeable source for generators and relations of simplicial sets?

asked Sep 24, 2018 at 20:18

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61 Questions

Reference for the Gelfand duality theorem for commutative von Neumann algebras

Can we recover a von Neumann algebra from its predual?

What algebraic structure characterizes all natural operations between differential operators and differential forms?

Bimodules in geometry

Can the constant rank theorem for smooth manifolds be generalized to nonconstant rank?

Noncommutative smooth manifolds

Which complete Boolean algebras arise as the algebras of projections of commutative von Neumann algebras?

Can we define spectral triples using the language of rigged Hilbert spaces?

Is there an ∞-categorical interpretation of the Quillen S⁻¹S construction?

Are dualizable topological vector spaces finite-dimensional?

What are the smooth manifolds in the topos of sheaves on a smooth manifold?

From relative categories to marked simplicial sets

Is there a citeable reference for star-shaped open subsets of R^n being diffeomorphic to R^n?

Is there an expository account of homology of simplicial sets that does not assume prior familiarity with any variant of homology?

Are bundle gerbes bundles of algebras?

Is the category of smooth manifolds equivalent to the opposite category of the category of commutative monoids of some additive symmetric monoidal category?

Are Thom spectra MU, MSO and K-theory spectra KU, KO modules over some truncations of the sphere spectrum?

Recovering a monoidal category from its category of monoids

Reference for a proof of the fiberwise Stokes theorem

When did the Joyal model structure on simplicial sets originate?

Reference for free symmetric monoidal categories with duals on symmetric monoidal categories

Does every smooth map of rank at most d factor through a d-manifold?

Necessary conditions for cofibrancy in global projective model structure on simplicial presheaves

Is there a practical criterion to determine whether the limit of a diagram of real chain complexes is also a homotopy limit?

Reference for a generalization of Γ-spaces to monoidal model categories

Can we characterize the spatial tensor product of von Neumann algebras categorically?

De Rham homology

Can any smooth triangulation of a smooth manifold be blurred?

Reference for homotopy (co)limits of (co)chain complexes via totalization of double complexes

Is there a citeable source for generators and relations of simplicial sets?