  In this paper we show that Bloch's higher cycle class map with finite
coefficients of a quasi-projective variety over an algebraically closed field
fits naturally in a long exact sequence involving Schreieder's refined
unramified homology. We also show that the refined unramified homology
satisfies the localization sequence. Using this we conjecture in the end that
refined unramified homology is a sheaf cohomology and explain how this is
related to known and aforementioned results.
