Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compactness in MV-Topologies: Tychonoff Theorem and Stone-Cech
  Compactification   In this paper, we discuss some questions about compactness in MV-topological
spaces. More precisely, we first present a Tychonoff theorem for such a class
of fuzzy topological spaces and some consequence of this result, among which,
for example, the existence of products in the category of Stone MV-spaces and,
consequently, of coproducts in the one of limit cut complete MV-algebras. Then
we show that our Tychonoff theorem is equivalent, in ZF, to the Axiom of
Choice, classical Tychonoff theorem, and Lowen's analogous result for
lattice-valued fuzzy topology. Last, we show an extension of the Stone-Cech
compactification functor to the category of MV-topological spaces, and we
discuss its relationship with previous works on compactification for fuzzy
topological spaces.

3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg