[pl. criteria]
Part (c) is a frequently used criterion for the measurability of a real-valued function.
The criterion for its existence is $Af=0$.
The following is an explicit criterion for $f$ to be hamiltonian.
Note that this lemma does not give a simple criterion for deciding whether a given topology is indeed of the form $T_f$.
The following result gives a criterion for when a point belongs to $B$.
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