First of all, the danger of disconnectedness now disappears completely.
"International Congress of Arts and Science, Volume I" by Various
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Typical examples of properties that are preserved under taking disjoint union are disconnectedness, as well as T0 , T1 , T2 , and discreteness.
Modal languages for topology: expressivity and definability
Using Theorem 3.7 we can also show that disconnectedness is not modally deﬁnable.
Modal languages for topology: expressivity and definability
Total disconnectedness In this section we establish that N eq , the complement of E in Teichm¨uller space T is totally disconnected i.e it contains no non-trivial arc.
Multiplicities of simple closed geodesics and hypersurfaces in Teichm\"uller space
Along the orbit Sosc (τ ) the SH Codazzi constraints (35k) are satisﬁed only in the limit τ → ∞; hence the disconnectedness of the Bianchi components of the oscillatory subset O is irrelevant for the solution Sosc (τ ).
The cosmological billiard attractor
The only issue is the disconnectedness of the graph created by the Poisson clocks in the Harris construction during time interval [0, t].
Fluctuation bounds for the asymmetric simple exclusion process
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