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Results tagged with measure-theory
Search options questions only
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user 1946
Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.
26
votes
4
answers
2k
views
Does every set of reals contain a measure-zero set of the same cardinality? Does it contain ...
This question arises from an issue in my post on Ashutosh's excellent question on Restrictions of the null/meager ideal.
Question 1. Does every set of reals contain a measure-zero subset
of the same …
- 236k
92
votes
3
answers
14k
views
Is every sigma-algebra the Borel algebra of a topology?
This question arises from the excellent question posed on math.SE
by Salvo Tringali, namely, Correspondence
between Borel algebras and topology.
Since the question was not answered there after some ti …
- 236k
13
votes
1
answer
746
views
Is there a class of mathematical structures with non-isomorphic natural representations as a...
Background. The field of Borel equivalence relation theory
provides a robust, unifying theory that organizes most of the
classification problems of classical mathematics into a hierarchy,
allowing us …
- 236k