bio  website  maths.lancs.ac.uk/~kania 

location  Lancaster, United Kingdom  
age  
visits  member for  3 years, 5 months 
seen  53 mins ago  
stats  profile views  1,642 
1d

revised 
Convergence on a random graph
spelling of Łuczak 
1d

suggested  suggested edit on Convergence on a random graph 
Oct 18 
comment 
The space of all compact metric spaces with GromovHausdorff distance
Is it at least known that the space of compact metric spaces modulo isometry is separable? This reminds me of a similar result of Pisier asserting that for each $n\geqslant 2$ the space of $n$dimensional operator spaces, $O_n$, is nonseparable. I am wondering if one could embed $O_n$ in your space. 
Oct 15 
comment 
Is $L(\ell_2,\ell_2)$ dense in $L(\ell_2,c_0)$?
Hi Michael, we met at HLF two weeks ago. :) 
Oct 15 
accepted  Discrete subsets in the topology of pointwise convergence vs. metrisability 
Oct 14 
awarded  Nice Question 
Oct 13 
comment 
Discrete subsets in the topology of pointwise convergence vs. metrisability
Santi, this is a brilliant answer. I will accept it in two days. Could you please elaborate a bit more on the first sentence of the final paragraph? 
Oct 13 
revised 
Discrete subsets in the topology of pointwise convergence vs. metrisability
edited title 
Oct 13 
comment 
A Banach space with all Hilbertian subspaces complemeneted
Maybe being $\pi$Euclidean would be of use for you? See Cor. 8.4 in Projections onto Hilbertian subspaces of Banach spaces by Figiel and TomczakJaegermann. 
Oct 13 
comment 
A Banach space with all Hilbertian subspaces complemeneted
Are there any particular properties that you hope for? 
Oct 13 
asked  Discrete subsets in the topology of pointwise convergence vs. metrisability 
Oct 11 
answered  Is there a noncompact Poulsen simplex? 
Oct 2 
comment 
Is $\mathbb{Z}^{\omega}$ ever the union of a chain of proper subgroups each isomorphic to $\mathbb{Z}^{\omega}$?
This paper arxiv.org/pdf/math/0508146v6.pdf might be of relevance. 
Oct 1 
awarded  Excavator 
Oct 1 
revised 
Does the dual Banach space $B(\ell^\infty)$ have weak* normal structure?
formating, grammar improved 
Oct 1 
suggested  suggested edit on Does the dual Banach space $B(\ell^\infty)$ have weak* normal structure? 
Sep 30 
awarded  Explainer 
Sep 29 
revised 
Is there any standard procedure to properly define a composite metric?
link added 
Sep 29 
suggested  suggested edit on Is there any standard procedure to properly define a composite metric? 
Sep 14 
comment 
Ultrapowers of Banach spaces without the continuum hypothesis
If CH fails, then you can find $2^{\mathfrak{c}}$ ultrapowers of $C(K)$ which are not isometric to $\ell_\infty / c_0$. As for the isomorphic case, it seems that there are also $2^{\mathfrak{c}}$ isomorphic types by a version of Theorem 3 from arxiv.org/pdf/0912.0406.pdf adjusted to the setting of ptmat.fc.ul.pt/~alexus/papers/unstable.pdf 