Skip to main content
MathOverflow
Karol Szumiło's user avatar
Karol Szumiło's user avatar
Karol Szumiło's user avatar
Karol Szumiło
  • Member for 13 years, 10 months
  • Last seen more than 1 year ago
Profile Activity

87 Answers

Score Activity Newest
37 votes
Accepted

Brown representability for non-connected spaces

22 votes
Accepted

Dimension in CW-approximation

21 votes

Conceptual reason why the sign of a permutation is well-defined?

16 votes
Accepted

Cocontinuous product-preserving functor between Grothendieck toposes

16 votes
Accepted

On a weaker version of homotopy equivalence between topological spaces

15 votes
Accepted

Constructing a "geometric" model structure on Cat by localizing the "categorical" model structure

15 votes
Accepted

Can homotopy pullbacks of spaces be checked on fibers?

14 votes
Accepted

When are (weak) homotopy equivalence testable on open covers?

14 votes
Accepted

Unpointed Brown representability theorem

12 votes
Accepted

Reference for "lax monoidal functors" = "monoids under Day convolution"

12 votes
Accepted

Is the localisation of a product of categories the product of the localisation?

12 votes
Accepted

Are Brown representable functors determined by restriction to finite complexes?

12 votes
Accepted

When do colimits agree with homotopy colimits?

11 votes

Semi-simplicial versus simplicial sets (and simplicial categories)

11 votes

Are categories of fibrant objects idempotent complete?

10 votes

Extending Kan fibrations, without using minimal fibrations

10 votes

Enriched locally presentable categories

10 votes
Accepted

Can a weak fibration category be non saturated?

10 votes
Accepted

Relative version of Quillen's theorem A

10 votes

A homology theory which satisfies Milnor's additivity axiom but not the direct limit axiom?

9 votes
Accepted

Is the homotopy category of a ring also the derived category of another ring?

9 votes

A more natural proof of Dold-Kan?

9 votes
Accepted

Characterization of Tychonoff spaces in terms of open sets

9 votes
Accepted

When does localization preserve homotopy type of classifying spaces?

9 votes
Accepted

Is there a model structure on (strict?) Monoidal Categories?

8 votes
Accepted

"Joyal type" model structure for (n,1)-categories?

8 votes
Accepted

Homotopy pullbacks/relative homotopy groups vs homotopy pushouts/relative homology groups

8 votes
Accepted

Enriched cartesian closed categories

8 votes
Accepted

What is the relation between a ''homotopy fiber bundle'' and a Serre fibration?

8 votes
Accepted

Strict categorical localization is automatically a "2-localization"?

1
2 3