The content of the paper will be merged into Algorithmic randomness over general spaces.
June 13, 2011, Rejected
Sep 21, 2010, Submitted to a Journal
A computable topological space of measures
We show that the space of bounded non-negative Borel measures on
a computable topological space is also a computable topological space
with A-topology. Then we dene computable measures which may not
be probabilistic and may be even innite. We also study randomness for
non-negative Borel measures which may not be probabilistic.