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math.FA2020
On a theorem of Pelc and Prikry on the nonexistence of invariant extensions of Borel measures
Sanjib Basu, Debasish Sen
There are certain countably generated sigma-algebras of sets in the real line which do not admit any non-zero, sigma-finite, diffused (or, continuous) measure. Such countably gener…
math.FA2019
On nonmeasurable subgroups in generalized measurable structures
S. Basu, D. Sen
In this paper, we prove a result on nonmeasurable subgroups in commutative Polish groups with respect to more generalized structures than sigma-finite measures.
math.FA2019
A Nonseparable Invariant Extension of Lebesgue Measure -- A Generalized and Abstract Approach
Sanjib Basu, Debashish Sen
Here using some methods of combinatorial set theory, particularly the ones related to the construction of independent families of sets and some modified version of the notion of sm…