All Questions
9,056 questions
2
votes
0
answers
148
views
Is the homotopy of a primitively generated Hopf algebra still primitively generated?
Let $A=\oplus A_n$ be a primitively generated graded Hopf algebra, where each $A_n$ is a simplicial group. This allows us to define the homotopy group $\pi_*(A)$.
Question: is the graded Hopf algebra ...
0
votes
0
answers
142
views
Homomorphism between the set of n-flats in $R^m$ to some manifold
I am unaware of what the formal definition of "limit" is for a sequence of flats, but for the purpose of this question her is the definition of limit that I am using:
Consider a sequence $s_1, s_2, ...
1
vote
0
answers
99
views
n-reduced Eilenberg subcomplex
It is somewhat of a standard construction, that, given a simplicial set K, we can form $E_n K$, by choosing a basepoint, and picking all simplices that map their $(n-1)$-skeleton to the basepoint. If ...
1
vote
1
answer
170
views
Does there exists a (possibly homological) characterization of the Jordan curve property in all dimensions?
More precisely, let $M$ be a subspace $\mathbb R^n$ with the following properties:
$M$ is a topological manifold of dimension $n-1$.
M is compact.
Does there exist a homological characterization of ...
3
votes
0
answers
189
views
Which local homeos to numerical space are bijective?
I am reading T. Szamuely's book on Galois groups and fundamental groups.
As preparation to the algebraic case, he recalls the topological case.
So I am wondering if a surjective local homeomorphism $f$...
1
vote
0
answers
79
views
Subresultants of primitive polynomials
Given two primitive polynomials $f,g\in D[x]$ over some domain $D$, is there anything we can say about the primitiveness of their $i$-th subresultant polynomials $Sres_i(f,g)$? I.e. is there a simple ...