Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Remarks on a paper by Juh\'asz and Kunen   We give an equivalent, but simpler formulation of the axiom SEP introduced by
Juhasz and Kunen. Our formulation shows that many of the consequences of the
weak Freese-Nation Property of $\mathcal P(\omega)$ already follow from SEP. We
show that it is consistent that SEP holds while $\mathcal P(\omega)$ fails to
have the $(\aleph_1,\aleph_0)$-ideal property, which has been introduced by
Hart and Dow . This answers a question addressed independently by Fuchino and
by Kunen.
  We also consider some natural variants of SEP and show that certain changes
in the definition of SEP do not lead to a different principle. This answers a
question addressed by Blass.

15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg