Tagged Questions
2
votes
2answers
66 views
The empty set in homotopy theoretic terms (as a simplicial set/top. space)
I am currently confused about the empty set in terms of its path components and how this fits into the Quillen adjunction between topological spaces and simplicial sets. Probably, one of my ...
3
votes
2answers
148 views
Kan fibrations and surjectivity
I have a basic question on the usual model structure on simplicial sets.
What is the relation between being a Kan (trivial maybe ?) fibration and
surjectivity ?
Surjectivity here means either ...
2
votes
0answers
76 views
left inverse to trivial fibration is trivial cofibration
It is claimed that in the model category of simplicial sets (with usual model structure), a trivial fibration $X \to Y$ has a section, which is a trivial cofibration.
Now, I see that there is a ...
