Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strongly almost disjoint sets and weakly uniform bases   A combinatorial principle CECA is formulated and its equivalence with GCH+
certain weakenings of Box_lambda for singular lambda is proved. CECA is used to
show that certain ``almost point- < tau'' families can be refined to point- <
tau families by removing a small set from each member of the family. This
theorem in turn is used to show the consistency of ``every first countable
T_1-space with a weakly uniform base has a point-countable base.''

21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn