Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-imprisonment conditions on spacetime   The non-imprisonment conditions on spacetimes are studied. It is proved that
the non-partial imprisonment property implies the distinction property.
Moreover, it is proved that feeble distinction, a property which stays between
weak distinction and causality, implies non-total imprisonment. As a result the
non-imprisonment conditions can be included in the causal ladder of spacetimes.
Finally, totally imprisoned causal curves are studied in detail, and results
concerning the existence and properties of minimal invariant sets are obtained.

11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs