Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Covers in Quantum Measure Theory   In standard measure theory the measure on the base set Omega is normalised to
one, which encodes the statement that "Omega happens". Moreover, the rules
imply that the measure of any subset A of Omega is strictly positive if and
only if A cannot be covered by a collection of subsets of zero measure. In
quantum measure theory on the other hand, simple examples suffice to
demonstrate that this is no longer true. We propose an appropriate
generalisation of a cover to quantum measure theory, the {\sl quantum cover},
which in addition to being a cover of A, satisfies the property that if every
one of its elements has zero quantum measure, then so does A. We show that a
large class of inextendible antichains in the associated powerset lattice
provide quantum covers for Omega, for a quantum measure that derives from a
strongly positive decoherence functional. Quantum covers, moreover, give us a
new perspective on the Peres-Kochen-Specker theorem and its role in the
anhomomorphic logic approach to quantum interpretation.

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The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th