Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Translation-invariant generalized topologies induced by probabilistic
  norms   In this paper we consider probabilistic normed spaces as defined by Alsina,
Sklar, and Schweizer, but equipped with non necessarily continuous triangle
functions. Such spaces endow a generalized topology that is
Fr\'echet-separable, translation-invariant and countably generated by radial
and circled 0-neighborhoods. Conversely, we show that such generalized
topologies are probabilistically normable.

7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci